Question 1

Graph the following inequality as a ray or interval on the number line: $x>9$

Accepted Answer

The answer of Graph the following inequality as a ray...

Question 2

Graph the region in which both of the following two inequalities are satisfied: $y \geq x-8$ and $y \leq x / 2-6$

Accepted Answer

The answer of Graph the region in which both of...

Question 3

Label each inequality as conditional, unconditional, linear, or nonlinear:
(a) $x^{2}+2>1$
(b) $x+4<2 x-3$
(c) $x^{2}-5 x+4>5$
(d) $5 x+1>x^{2}$

Accepted Answer

(a) unconditional, nonlinear
(b) conditional, linear
(c) conditional, nonlinear
(d) conditional, nonlinear

Question 4

Rewrite each double inequality as two separate inequalities:

Accepted Answer

The answer of Rewrite each double inequality as two separate...

Question 5

Graph the inequality on the number line: $x \leq-4$

Accepted Answer

The answer of Graph the inequality on the number line:...

Question 6

Graph the inequality: $y\geq 2 x-1$

Accepted Answer

The answer of Graph the inequality: $y\geq 2 x-1$...

Question 7

Graph the inequalities: $y \leq 3 x-4, y \geq 2 x+5$

Accepted Answer

The answer of Graph the inequalities: \(y \leq 3 x-4,...

Question 8

Graph the inequalities: $y<8-5 x^{2}, y\geq 4 x+8$

Accepted Answer

The answer of Graph the inequalities: \(y<8-5 x^{2}, y\geq 4...

Question 9

Write $(-3,8)$ as an inequality.

Accepted Answer

The answer of Write $(-3,8)$ as an inequality....

Question 10

Write using bracket notation.

Accepted Answer

The answer of Write using bracket notation....

Question 11

Graph the inequality on the number line: $-2 \leq x<1$

Accepted Answer

The answer of Graph the inequality on the number line:...

Question 12

Write $-5 \leq x<7$ using bracket notation.

Accepted Answer

The answer of Write $-5 \leq x<7$ using bracket notation....

Question 13

Rewrite each double inequality as two separate inequalities:

(c) $-1 \leq x \leq 8$
(d) $-10 \leq x<-5$

Accepted Answer

The answer of Rewrite each double inequality as two separate...

Question 14

Rewrite each pair of inequalities as a double inequality: (a) $x \geq 2$ and $x<15$ (b) $x>-4$ and $x \leq 25$ (c) $x \geq-5$ and $x \leq 12$ (d) $x>20$ and $x<64$

Accepted Answer

The answer of Rewrite each pair of inequalities as a...

Question 15

Solve the inequality: $3 x-9<4 x+2$

Accepted Answer

The answer of Solve the inequality: $3 x-9<4 x+2$...

Question 16

Solve the inequality:

Accepted Answer

The answer of Solve the inequality: ...

Question 17

Solve the inequality: $|5 x|<15$

Accepted Answer

The answer of Solve the inequality: $|5 x|<15$...

Question 18

Solve the inequality: $|4 x+3|>5$

Accepted Answer

The answer of Solve the inequality: $|4 x+3|>5$...

Question 19

Solve the inequality: $4 x-8 \geq 3(4 x+1)+13$

Accepted Answer

The answer of Solve the inequality: \(4 x-8 \geq 3(4...

Question 20

Solve the inequality: $\frac{x^{2}-3 x}{2}>\frac{-x^{2}+5 x+90}{2}$

Accepted Answer

The answer of Solve the inequality: $\frac{x^{2}-3 x}{2}>\frac{-x^{2}+5 x+90}{2}$...

Quiz 24: Inequalities and Linear Programming

Graph the following inequality as a ray or interval on the number line: $x>9$

Graph the region in which both of the following two inequalities are satisfied: $y \geq x-8$ and $y \leq x / 2-6$

Label each inequality as conditional, unconditional, linear, or nonlinear: (a) $x^{2}+2>1$ (b) $x+4<2 x-3$ (c) $x^{2}-5 x+4>5$ (d) $5 x+1>x^{2}$

Rewrite each double inequality as two separate inequalities:

Graph the inequality on the number line: $x \leq-4$

Graph the inequality: $y\geq 2 x-1$

Graph the inequalities: $y \leq 3 x-4, y \geq 2 x+5$

Graph the inequalities: $y<8-5 x^{2}, y\geq 4 x+8$

Write $(-3,8)$ as an inequality.

Write using bracket notation.

Graph the inequality on the number line: $-2 \leq x<1$

Write $-5 \leq x<7$ using bracket notation.

Rewrite each double inequality as two separate inequalities: $Rewrite each double inequality as two separate inequalities: (c) -1 \leq x \leq 8 (d) -10 \leq x<-5$ (c) $-1 \leq x \leq 8$ (d) $-10 \leq x<-5$

Rewrite each pair of inequalities as a double inequality: (a) $x \geq 2$ and $x<15$ (b) $x>-4$ and $x \leq 25$ (c) $x \geq-5$ and $x \leq 12$ (d) $x>20$ and $x<64$

Solve the inequality: $3 x-9<4 x+2$

Solve the inequality:

Solve the inequality: $|5 x|<15$

Solve the inequality: $|4 x+3|>5$

Solve the inequality: $4 x-8 \geq 3(4 x+1)+13$

Solve the inequality: $\frac{x^{2}-3 x}{2}>\frac{-x^{2}+5 x+90}{2}$

Quiz 24: Inequalities and Linear Programming

Graph the following inequality as a ray or interval on the number line: x>9x>9x>9

Graph the region in which both of the following two inequalities are satisfied: y≥x−8y \geq x-8y≥x−8 and y≤x/2−6y \leq x / 2-6y≤x/2−6

Label each inequality as conditional, unconditional, linear, or nonlinear: (a) x2+2>1x^{2}+2>1x2+2>1 (b) x+4<2x−3x+4<2 x-3x+4<2x−3 (c) x2−5x+4>5x^{2}-5 x+4>5x2−5x+4>5 (d) 5x+1>x25 x+1>x^{2}5x+1>x2

Rewrite each double inequality as two separate inequalities:

Graph the inequality on the number line: x≤−4x \leq-4x≤−4

Graph the inequality: y≥2x−1y\geq 2 x-1y≥2x−1

Graph the inequalities: y≤3x−4,y≥2x+5y \leq 3 x-4, y \geq 2 x+5y≤3x−4,y≥2x+5

Graph the inequalities: y<8−5x2,y≥4x+8y<8-5 x^{2}, y\geq 4 x+8y<8−5x2,y≥4x+8

Write (−3,8)(-3,8)(−3,8) as an inequality.

Write using bracket notation.

Graph the inequality on the number line: −2≤x<1-2 \leq x<1−2≤x<1

Write −5≤x<7-5 \leq x<7−5≤x<7 using bracket notation.

Rewrite each double inequality as two separate inequalities: (c) −1≤x≤8-1 \leq x \leq 8−1≤x≤8 (d) −10≤x<−5-10 \leq x<-5−10≤x<−5

Rewrite each pair of inequalities as a double inequality: (a) x≥2x \geq 2x≥2 and x<15x<15x<15 (b) x>−4x>-4x>−4 and x≤25x \leq 25x≤25 (c) x≥−5x \geq-5x≥−5 and x≤12x \leq 12x≤12 (d) x>20x>20x>20 and x<64x<64x<64

Solve the inequality: 3x−9<4x+23 x-9<4 x+23x−9<4x+2

Solve the inequality:

Solve the inequality: ∣5x∣<15|5 x|<15∣5x∣<15

Solve the inequality: ∣4x+3∣>5|4 x+3|>5∣4x+3∣>5

Solve the inequality: 4x−8≥3(4x+1)+134 x-8 \geq 3(4 x+1)+134x−8≥3(4x+1)+13

Solve the inequality: x2−3x2>−x2+5x+902\frac{x^{2}-3 x}{2}>\frac{-x^{2}+5 x+90}{2}2x2−3x​>2−x2+5x+90​

Graph the following inequality as a ray or interval on the number line: $x>9$

Graph the region in which both of the following two inequalities are satisfied: $y \geq x-8$ and $y \leq x / 2-6$

Label each inequality as conditional, unconditional, linear, or nonlinear: (a) $x^{2}+2>1$ (b) $x+4<2 x-3$ (c) $x^{2}-5 x+4>5$ (d) $5 x+1>x^{2}$

Graph the inequality on the number line: $x \leq-4$

Graph the inequality: $y\geq 2 x-1$

Graph the inequalities: $y \leq 3 x-4, y \geq 2 x+5$

Graph the inequalities: $y<8-5 x^{2}, y\geq 4 x+8$

Write $(-3,8)$ as an inequality.

Graph the inequality on the number line: $-2 \leq x<1$

Write $-5 \leq x<7$ using bracket notation.

Rewrite each double inequality as two separate inequalities: $Rewrite each double inequality as two separate inequalities: (c) -1 \leq x \leq 8 (d) -10 \leq x<-5$ (c) $-1 \leq x \leq 8$ (d) $-10 \leq x<-5$

Rewrite each pair of inequalities as a double inequality: (a) $x \geq 2$ and $x<15$ (b) $x>-4$ and $x \leq 25$ (c) $x \geq-5$ and $x \leq 12$ (d) $x>20$ and $x<64$

Solve the inequality: $3 x-9<4 x+2$

Solve the inequality: $|5 x|<15$

Solve the inequality: $|4 x+3|>5$

Solve the inequality: $4 x-8 \geq 3(4 x+1)+13$

Solve the inequality: $\frac{x^{2}-3 x}{2}>\frac{-x^{2}+5 x+90}{2}$