Multi-Step Inequalities

3x - 5 > -26

• x < -7
• x > -7
• x > 7
• x < 7

6(n + 2) < -72

• n < -14
• n < 35/3
• n < -10
• n > -14

6x + 10 > 5x - 12

• x > 2
• x < -2
• x < -22
• x > -22

4(2a + 3) < 3(a - 1)

• a < -3
• a > -3
• a < 3
• a > 3

You flip an inequality symbol when you...

• subtract
• multiply and divide only
• multiple by a negative number
• multiple or divide by a negative number

Do I need to flip my sign?
-3x  ≥ 12

• Yes
• No

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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Graph the solution set of the inequality.

2n + 4 < 16

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When graphing an inequality, you use an open dot when you use which symbol?

• <, >
• ≤, ≥