One Step Inequalities

32 ≥ -16p 

• p ≥ 2

• p ≥-2

• p ≤ -2

• p < 48

1.8m ≥ -5.4

• m ≥ -3

• m ≤ -3

• m ≥ -9.72

• m ≤ -9.72

Level 3.

Solve the inequality. Graph the solution.

y+5 ≥ 2

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A chef has 7 pounds of potatoes.  She needs more than 14 pounds for dinner.  What inequality describes the amount of potatoes the chef needs to buy?

• x - 7 > 14

• x + 7 > 14

• x - 7 < 14

• x + 7 < 14

When do we switch the inequality symbol?

• when multiplying or dividing by a NEGATIVE

• when adding and subtracting a NEGATIVE

• we never switch the inequality

• When there is a negative in the problem

The room can hold a maximum of 400 people. If there are already 134 people there, how many more can come? Identify the inequality that represents this situation.

• x - 134 < 400

• x + 134 < 400

• x - 134 ≤ 400

• x + 134 ≤ 400

What are two solutions to x < 8?

• 8.6, 7.9

• 11, 16

• 0.8, 5.9

• 12, 7.1

Solve the inequality.

• x ≤ 6

• x ≥ 6

• x ≤ -6

• x ≥ -6