1-4: Solving Inequalities

Given the following graphs, select the answer that correctly gives an inequality to match.

• a. Infinitely Many Solutions

  b. No Solution

• a. No Solution

  b. Infinitely Many Solutions

• a. x < 0

  b. x > -5

• a. x > -5

  b. x < 0

Click on the picture to complete the question.

• No error. Problem is correct.

• Error: Should have multiplied by 3

  Correction: x < 18

• Error: Should have done -1 to both sides

  Correction: x < 4/3

• Error: Flipped Inequality Symbol

  Correction: x > 2

Click the picture to see the problem. Select the correct answer.

• x < 9

• x > 9

• x < -9

• x > -9

Solve the following inequality and select the correct graph:

-2(1 - 3x) > 16

• 
• 
• 
• 

MULTIPLE SELECT: Solve the following inequality and select the answer choices that would fit in the solution:

3x - 24 ≤ -2(2x - 30)

• -2

• 4

• 12

• 15

• 18

SELECT ALL answers that fit the solution to the following inequality:

4(3 - 2x) ≥ -4

• 6

• 4

• 2

• 0

• -2

An office manager is selecting a water delivery service. Acme H2O charges a $15 fee and $7.50 per 5-gallon jug. Best Water charges a $24 fee and $6.00 per 5-gallon jug. The office manager wants Best Water to be less expensive than Acme H2O. Select the inequality that matches the scenario.

• 15 + 7.50(x + 5) > 24 + 6(x + 5)

• 15 + 7.50x > 24 + 6x

• 15 + 7.50(x + 5) < 24 + 6(x + 5)

• 15 + 7.50x < 24 + 6x

An office manager is selecting a water delivery service. Acme H2O charges a $15 fee and $7.50 per 5-gallon jug. Best Water charges a $24 fee and $6.00 per 5-gallon jug. How many 5-gallon jugs will the office have to buy each month for the cost of Best Water to be less than that of Acme H2O?

• at least 6

• at most 6

• at least 15

• at most 15

Click on the picture to see the question. SELECT TWO inequalities to match the scenario.

• 6.50 + 4x ≤ 8

• 6.50 + 4x ≥ 8

• 4.25x + 6.25 ≤ 8

• 4.25 + 2.25 + 4x ≤ 8

• 4.25x + 2.25 + 4 ≥ 8

Click on the picture to see the question. Select the possible numbers of pounds of potato salad he can buy.

• x ≥ 0.375 lbs

• x ≤ 0.375 lbs

• x ≥ 0.412 lbs

• x ≤ 0.412 lbs