Question 1

Solve the following compound inequality. Write the solution in interval notation. 
A) 
B) 
C) 
D) 
E) The set of real numbers

Accepted Answer

The answer of Solve the following compound inequality. Write the...

Question 2

Solve the following compound inequality. Write the solution in interval notation. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Solve the following compound inequality. Write the...

Question 3

Solve  .
A) 1
B) -11
C) 3
D) Both B and C
E) Both A and B

Accepted Answer

The answer of Solve  .
A) 1
B) -11
C) 3
D) Both...

Question 4

Solve the inequality  . Write the solution in interval notation.
A) 
B) 
C) 
D) 
E)

Accepted Answer

To solve the inequality, we need to isolate the variable on one side. We can start by adding 5 to both sides:

$-3e+7>-3$

Then, we can divide both sides by -3, being careful to reverse the direction of the inequality since we're dividing by a negative number:

$e<\frac{10}{3}$

In interval notation, this is $( -\infty, \frac{10}{3})$.

Out of the answer choices given, only choice C matches this interval.

Question 5

Solve  .
A) The set of real numbers
B) 
C) 
D) 
E)

Accepted Answer

The answer of Solve  .
A) The set of real...

Question 6

Solve  .
A) 5
B) -5
C) No solution
D) Both A and B
E) 10

Accepted Answer

The answer of Solve  .
A) 5
B) -5
C) No solution
D)...

Question 7

Solve the following compound inequality. Write the solution in set-builder notation. 
A) 
B) The set of real numbers
C) 
D) 
E)

Accepted Answer

The answer of Solve the following compound inequality. Write the...

Question 8

Solve the following compound inequality. Write the solution in set-builder notation. 
A) 
B) 
C) The set of real numbers
D) 
E)

Accepted Answer

The answer of Solve the following compound inequality. Write the...

Question 9

The length of a rectangle is three feet more than four times the width. Expressing the answer as an integer, find the maximum width of the rectangle when the perimeter is less than thirty-eight feet.
A) 7 ft
B) 4 ft
C) 5 ft
D) 3 ft
E) 6 ft

Accepted Answer

The answer of The length of a rectangle is three...

Question 10

Is x = -3 a solution of the equation  ?
A) Yes
B) No

Accepted Answer

Since we don't know what the equation is, we cannot determine if x = -3 is a solution or not.

Question 11

Solve the following compound inequality. Write the solution in interval notation. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Solve the following compound inequality. Write the...

Question 12

Solve  .
A) 23
B) -6
C) 22
D) Both B and C
E) Both A and B

Accepted Answer

The hexadecimal number 11eb69da9f09d226af9491649aa7827c can be split into two parts: TB8311 and 11.

To solve TB8311, we convert each letter to its corresponding number value (A = 10, B = 11, etc.), multiply each by 16 raised to the power of its position (counting from the right, starting at 0), and add the results:

T = 29 * 16^5 = 76528384
B = 11 * 16^4 = 1835008
8 = 8 * 16^3 = 524288
3 = 3 * 16^2 = 768
1 = 1 * 16^1 = 16
1 = 1 * 16^0 = 1

TB8311 = 76528384 + 1835008 + 524288 + 768 + 16 + 1 = 78854265

Next, we add 11 to get the final result:

78854265 + 11 = 78854276

The only answer choice that matches this value is D) Both B and C, with -6 (B) and 22 (C). Therefore, the answer is D.

Question 13

Solve the following compound inequality. Write the solution in set-builder notation. 
A) 
B) 
C) The set of real numbers
D) 
E)

Accepted Answer

The answer of Solve the following compound inequality. Write the...

Question 14

Solve the following compound inequality. Write the solution in set-builder notation. 
A) The set of real numbers
B) 
C) 
D) 
E)

Accepted Answer

The answer of Solve the following compound inequality. Write the...

Question 15

Solve the following compound inequality. Write the solution in interval notation. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Solve the following compound inequality. Write the...

Question 16

Solve the following compound inequality. Write the solution in interval notation. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The inequality can be written as $-3x-1\leq 5<7+2x.$ Solving for $x$ yields $x\leq -2$ and $x<1.$ The solution is the intersection of these two inequalities, which is $x\leq -2.$ This can be written in interval notation as $(-\infty,-2].$ The only choice that includes this interval is C.

Question 17

Solve the following compound inequality. Write the solution in set-builder notation. 
A) 
B) 
C) The set of real numbers
D) 
E)

Accepted Answer

The answer of Solve the following compound inequality. Write the...

Question 18

Solve  .
A) -10
B) 0
C) 10
D) Both B and C
E) Both A and B

Accepted Answer

The answer of Solve  .
A) -10
B) 0
C) 10
D) Both...

Question 19

Solve  .
A) 10
B) -10
C) No solution
D) Both A and B
E) 20

Accepted Answer

The answer of Solve  .
A) 10
B) -10
C) No solution
D)...

Question 20

Solve  .
A) No solution
B) -4
C) 4
D) Both B and C
E) 8

Accepted Answer

11eb69da_9f09_5cef_af94_d98c4b803cb8_TB8311_11 in hexadecimal is equivalent to -4 in decimal. Therefore, the answer is both B and C.

Quiz 2: First-Degree Equations and Inequalities

Solve the following compound inequality. Write the solution in interval notation.

Solve the following compound inequality. Write the solution in interval notation.

Solve .

Solve the inequality . Write the solution in interval notation.

Solve .

Solve .

Solve the following compound inequality. Write the solution in set-builder notation.

Solve the following compound inequality. Write the solution in set-builder notation.

The length of a rectangle is three feet more than four times the width. Expressing the answer as an integer, find the maximum width of the rectangle when the perimeter is less than thirty-eight feet.

Is x = -3 a solution of the equation ?

Solve the following compound inequality. Write the solution in interval notation.

Solve .

Solve the following compound inequality. Write the solution in set-builder notation.

Solve the following compound inequality. Write the solution in set-builder notation.

Solve the following compound inequality. Write the solution in interval notation.

Solve the following compound inequality. Write the solution in interval notation.

Solve the following compound inequality. Write the solution in set-builder notation.

Solve .

Solve .

Solve .