Inequality Two Steps and Solutions

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

Solve for x:

-3x + 7 < x - 9

• x < -4

• x > -4

• x < 4

• x > 4

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

• h < -11/5

• h <-4

• h > -4

• h < -11/5

4x + 4 < 4 (3x-1)

• x > 1

• x < 1

• x = 1

• x > 4

6(y-3) < 6(3y+1)

• y < -2

• y > -2

• y = -2

• -2 < y

Jenny plans to spend at most $75 dollars on 2 shirts and a pair of jeans. She bought two shirts for $15.50 each. Write an inequality that shows how much she can spend on jeans.