Inequalities Practice Questions: FINAL

• -3

• 1

• -2

• -1

Miss Snively incorrectly solved an inequality as shown:

Step 1: -6(x-4)+1 < -12

Step 2: -6(x-4) < -13

Step 3: -6x-24 < -13

Step 4: -6x < 11

Step 5: x > -11/6

Between which two consecutive steps did Miss Snively make a mistake?

• 4 and 5
• 3 and 4
• 1 and 2
• 2 and 3

• y < 26

Solve for x:

-3x + 7 < x - 9

• x < -4
• x > -4
• x < 4
• x > 4

Josue wants to move out of his parents house.

Rent for a studio apartment is $1500.

How much must Josue make each month for rent to be no more than one third of his total monthly income?

• $1000
• $2000
• $4500
• $3000

Miss Snively wants to buy a new laptop

Miss Snively makes $13.50 an hour

a laptop costs $1,200

How many hours must Miss Snively work to buy the laptop?

• At most 10

• At most 75

• At most 50

• At least 89

Mr. Johnson incorrectly solved an inequality as shown:

Step 1: -3(x-2)+4 < -7

Step 2: -3(x-2) < -11

Step 3: -3x-6 < -11

Step 4: -3x < -5

Step 5: x > 5/3

Between which two consecutive steps did Mr. Johnson make a mistake?

• 2 and 3
• 4 and 5
• 3 and 4
• 1 and 2

which values are solutions to the following inequality?

3(x-3)<3

• 5

• 3

• 0

• -2

3h+5<17

• h < 5
• h < 4
• h = 4
• h > 4

4x - 5x - 9 < 11x + 8 - 9 +9x

• x > -8/21
• x < 0
• x < -8/21
• x > 8/21