IM3 LT1 Solve & Graph Linear Inequalities

Match the graph with its inequality.

• a < 11

• a > 11

• a ≥ 11

• a ≤ 11

You flip an inequality symbol when you...

• subtract

• multiply and divide only

• multiple by a negative number

• multiple or divide by a negative number

Solve 28 − k ≥ 7(k − 4)

• k ≥ -7
• k ≤ -7
• k ≥ 7
• k ≤ 7

Solve:
7(x + 3) < 5x + 13

• x > -4

• x < 17
• x < -4

• x > -17

Match the graph with its inequality.

• 4(b-3) - 6 > –2

• 4(b+2) +4 < –2

• 4(b+3) - 6 ≥ –2

• 4(b+3) -6 ≤ –2

Solve -2(x+2) < 14

• x < - 5
• x > -5
• x < -9
• x > -9

Solve 4x + 3 < -1

• x < -1
• x < 1
• x < 2
• x > 4

Graph the solution set of the inequality.

–4n + 1 > –23

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Graph the solution set of the inequality.

–4a ≤ –28

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When graphing an inequality, which symbols represent a solid dot?

• <, >
• ≤, ≥