Question 1

Solve.
--4(2x + 1)  3[3x - 2(x + 1)]

Accepted Answer

The answer of Solve.
--4(2x + 1)  3[3x - 2(x...

Question 2

Solve.
-In order for a chemical reaction to remain stable, its Celsius temperature C must be no more than 51.57° C. At what Fahrenheit temperatures F will the reaction remain stable.

Accepted Answer

The answer of Solve.
-In order for a chemical reaction to...

Question 3

Solve.
-

Accepted Answer

The answer of Solve.
-
...

Question 4

Solve.
-In order for a chemical reaction to take place, the Fahrenheit temperature F of the reagents must be at least 184.81° F. At what Celsius temperatures C will the reaction occur?

Accepted Answer

The answer of Solve.
-In order for a chemical reaction to...

Question 5

Solve.
-

Accepted Answer

The answer of Solve.
-
...

Question 6

Solve.
-A salesperson has two job offers. Company A offers a weekly salary of $360 plus commission of 12% of sales. Company B offers a weekly salary of $720 plus commission of 6% of sales. What is the amount of sales above
Which Company A's offer is the better of the two?

Accepted Answer

To determine when Company A's offer is better, we set up an equation where the total earnings from both companies are equal and solve for the sales amount. For Company A: $360 + 0.12x = $720 + 0.06x, where x is the sales amount. Solving for x gives us $6000. Therefore, for sales amounts above $6000, Company A's offer is better.

Question 7

Solve.
-Jon has 1155 points in his math class. He must have 86% of the 1500 points possible by the end of the term to receive credit for the class. What is the minimum number of additional points he must earn by the end of the
Term to receive credit for the class?

Accepted Answer

To receive credit, Jon needs to earn 86% of 1500 points, which equals 1290 points (0.86 * 1500 = 1290). He already has 1155 points, so he needs an additional 135 points (1290 - 1155 = 135) to reach the required total.

Question 8

Find the indicated intersection or union.
-{q, s, u, v, w, x, y, z}  {q, s, y, z}

Accepted Answer

The answer of Find the indicated intersection or union.
-{q, s,...

Question 9

Find the indicated intersection or union.
-{q, s, u, v, w, x, y, z}  {q, s, y, z}

Accepted Answer

The answer of Find the indicated intersection or union.
-{q, s,...

Question 10

Solve.
-54 - (5x + 4)  2(x - 5) + 5x

Accepted Answer

The answer of Solve.
-54 - (5x + 4)  2(x...

Question 11

Find the indicated intersection or union.
-{1, 8, 14, 18}  {8, 18, 24, 30}

Accepted Answer

The answer of Find the indicated intersection or union.
-{1, 8,...

Question 12

Solve.
-3(3x + 1) < 5 - 5(3x - 3)

Accepted Answer

The answer of Solve.
-3(3x + 1) < 5 - 5(3x...

Question 13

Solve.
-

Accepted Answer

The answer of Solve.
-
...

Question 14

Find the indicated intersection or union.
-

Accepted Answer

The answer of Find the indicated intersection or union.
-
...

Question 15

Solve.
-The equation y = 0.005x + 0.30 can be used to determine the profit y, in dollars, of producing x items. How many items x must be produced so the profit will be at least $1273?

Accepted Answer

The answer of Solve.
-The equation y = 0.005x + 0.30...

Question 16

Solve.
-

Accepted Answer

The answer of Solve.
-
...

Question 17

Solve.
-Company A rents copiers for a monthly charge of $160 plus 8 cents per copy. Company B rents copiers for a monthly charge of $320 plus 4 cents per copy. What is the number of copies above which Company A's charges
Are the higher of the two?

Accepted Answer

To find the number of copies where Company A's charges become higher, set the cost equations equal: 160 + 0.08x = 320 + 0.04x. Solving for x gives x = 4000 copies.

Question 18

Solve.
-Photography reprints cost $0.52 each at a local photo shop. Through the mail, they cost $0.44 each plus $1.20 postage and handling. How many reprints must a customer purchase to make it less expensive to use mail
Order?

Accepted Answer

To find the number of reprints (n) where mail order becomes cheaper, we set up an inequality comparing the cost of buying reprints locally to the cost of buying them through the mail. Local cost: $0.52n. Mail order cost: $0.44n + $1.20. We want to find when $0.52n > $0.44n + $1.20. Solving the inequality: $0.08n > $1.20, n > 15. Therefore, for more than 15 reprints, mail order is cheaper.

Question 19

Find the indicated intersection or union.
-{4, 9, 14, 16, 23}  9, 16, 23, 28}

Accepted Answer

The answer of Find the indicated intersection or union.
-{4, 9,...

Question 20

Solve.
-0.2(4x - 3) < 1.2 - (x + 2)

Accepted Answer

The answer of Solve.
-0.2(4x - 3) < 1.2 - (x...

Quiz 10: More on Inequalities

Solve. --4(2x + 1) 3[3x - 2(x + 1) ]

Solve. -In order for a chemical reaction to remain stable, its Celsius temperature C must be no more than 51.57° C. At what Fahrenheit temperatures F will the reaction remain stable.

Solve. -

Solve. -In order for a chemical reaction to take place, the Fahrenheit temperature F of the reagents must be at least 184.81° F. At what Celsius temperatures C will the reaction occur?

Solve. -

Solve. -A salesperson has two job offers. Company A offers a weekly salary of $360 plus commission of 12% of sales. Company B offers a weekly salary of $720 plus commission of 6% of sales. What is the amount of sales above Which Company A's offer is the better of the two?

Solve. -Jon has 1155 points in his math class. He must have 86% of the 1500 points possible by the end of the term to receive credit for the class. What is the minimum number of additional points he must earn by the end of the Term to receive credit for the class?

Find the indicated intersection or union. -{q, s, u, v, w, x, y, z} {q, s, y, z}

Find the indicated intersection or union. -{q, s, u, v, w, x, y, z} {q, s, y, z}

Solve. -54 - (5x + 4) 2(x - 5) + 5x

Find the indicated intersection or union. -{1, 8, 14, 18} {8, 18, 24, 30}

Solve. -3(3x + 1) < 5 - 5(3x - 3)

Solve. -

Find the indicated intersection or union. -

Solve. -The equation y = 0.005x + 0.30 can be used to determine the profit y, in dollars, of producing x items. How many items x must be produced so the profit will be at least $1273?

Solve. -

Solve. -Company A rents copiers for a monthly charge of $160 plus 8 cents per copy. Company B rents copiers for a monthly charge of $320 plus 4 cents per copy. What is the number of copies above which Company A's charges Are the higher of the two?

Solve. -Photography reprints cost $0.52 each at a local photo shop. Through the mail, they cost $0.44 each plus $1.20 postage and handling. How many reprints must a customer purchase to make it less expensive to use mail Order?

Find the indicated intersection or union. -{4, 9, 14, 16, 23} 9, 16, 23, 28}

Solve. -0.2(4x - 3) < 1.2 - (x + 2)