Solving Multistep Inequalities

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Solving Multistep Inequalities

• Unit 5Lesson 65

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Solving Multistep Inequalities
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but . . .
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but . . .
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Very Important Reminder
When you multiply or divide both sides of an
inequality by a negative number, you have to flip
the inequality.
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Will the inequality sign have to be flipped?
No
Yes
Yes
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No
Yes
No
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Set Builder Notation 1
Reads The set of all xs such that x is less
than 2.
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Think cups and chips.
m. 3x 2 gt 6
2 2
Subtract 2 from both sides.
3x gt 4
Divide both sides by 3.
3 3
x gt
Write in set-builder notation.
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n. 5x 3 lt 10
3 3
Add 3 to both sides.
5x lt 13
Divide both sides by 5.
5 5
x gt
Flip the inequality.
Write in set-builder notation.
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o. 6 8p gt 3
Subtract 6 from both sides.
6 6
8p gt 3
Divide both sides by 8.
8 8
Flip the inequality.
Write in set-builder notation.
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p. 2a 3 gt 6a 5
Subtract 6a from both sides.
6a 6a
4a 3 gt 5
Subtract 3 from both sides.
3 3
4a gt 8
Divide both sides by 4.
Flip the inequality.
a lt 2
Write in set-builder notation.
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q. 2p 6 8p 2
Subtract 8p from both sides.
8p 8p
6p 6 2
6 6
Add 6 to both sides.
6p 8
Divide both sides by 6.
Flip the inequality and simplify.
Write in set-builder notation.
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Write in set-builder notation.
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