Algebra One Step Linear Inequalities

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

Does the sign need to flip when solving?
8y < (-40)

• YES

• NO

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

• q≤46
• q<46
• q≥46
• q<46