Objective

The student will be able to: solve two-step inequalities.

SOL: A.5abc

Designed by Skip Tyler, Varina High School

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1) Solve 5m - 8 > 12 Draw “the river” Add 8 to both sides Simplify Divide both sides by 5 Simplify Check your answer Graph the solution + 8 + 8 5m > 20 5 5 m > 4 5( 4 ) – 8 = 12

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2) Solve 12 - 3a > 18 Draw “the river” - 12 - 12 Subtract 12 from both sides -3a > 6 Simplify -3 -3 Divide both sides by -3 Simplify (Switch the inequality!) Check your answer a < -2 12 - 3( -2 ) = 18 Graph the solution

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-2 -1

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Which graph shows the solution to 2x - 10 ≥ 4?

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Answer Now

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3) Solve 5m - 4 < 2m + 11 Draw “the river” Subtract 2m from both sides Simplify Add 4 to both sides Simplify Divide both sides by 3 Simplify Check your answer Graph the solution -2m -2m 3m - 4 < 11 + 4 + 4 3m < 15 3 3 m < 5 5( 5 ) – 4 = 2( 5 ) + 11

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4) Solve 2r - 18 ≤ 5r + 3 -2r -2r Draw “the river” -18 ≤ 3r + 3 Subtract 2r from both sides Simplify - 3 - 3 Subtract 3 from both sides Simplify -21 ≤ 3r Divide both sides by 3 Simplify 3 3 Check your answer Graph the solution -7 ≤ r or r ≥ -7 2( -7 ) – 18 = 5( -7 ) + 3

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6) Solve -2x + 6 ≥ 3x - 4 1. x ≥ -2 2. x ≤ -2 3. x ≥ 2 4. x ≤ 2 Answer Now

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5) Solve 26p - 20 > 14p + 64 -14p -14p Draw “the river” Subtract 14p from both 12p – 20 > 64 sides Simplify + 20 + 20 Add 20 to both sides Simplify Divide both sides by 12 Simplify Check your answer Graph the solution 12p > 84 12 12 p > 7 26( 7 ) – 20 = 14( 7 ) + 64

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What are the values of x if 3(x + 4) - 5(x - 1) < 5?

1. x < -6 2. x > -6 3. x < 6 4. x > 6 Answer Now