Solving/Interpreting Linear Inequalities in One Step Equations

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

-4 + y < -8

• y < 4

• y < -12

• y < -4

• y < 12

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

Level 2

23 < f + 12

• f > 11

• f > 35

• f < 35

• f < 11

Solve.

• z≤1

• z>9

• z≤9

• z<9

What are two solutions to x < 8?

• 8.6, 7.9

• 11, 16

• 0.8, 5.9

• 12, 7.1

Level 3

Solve

-5m < 10

• m < -2

• m > -2

• m < -50

• m > -50

Solve the inequality.

• x ≤ 6

• x ≥ 6

• x ≤ -6

• x ≥ -6

Level 3

Solve.

• a ≥ -104

• a ≤ 5

• a ≤ -8/13

• a ≥ -8/13

Level 3

Solve the inequality. Graph the solution.

-11w > -11

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