6'3 Solving MultiStep Inequalities

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6.3 Solving Multi-Step Inequalities

• Goal Solve multi-step inequalities in one
  variable

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Example 1 Use multi-steps
Solve 2y 5 lt 7
Add 5 to each side
2y lt 12
Divide each side by 2
2 2
y lt 6
Simplify
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Example 2 Use multi-steps
Solve 5 - x gt 4
Subtract 5 from each side
-x gt -1
Divide or multiply each side by -1 and reverse
the inequality
-1 -1
x lt 1
Simplify
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Example 3 Use the Distributive Property
Use the distributive property
Solve 3(x 2) lt 7
3x 6 lt 7
Subtract 6 from each side
3x lt 1
Divide both side by 3
Simplify
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Example 4 Collect Variable Terms
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