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Pearson Algebra 1 Common Core, 2011 View details

4. Solving Multi-Step Inequalities

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Exercise 38 Page 190

Use inverse operations to isolate the variable.

s<11/2

Practice makes perfect

We have been given the following inequality. 4/3 s -3< s+2/3-1/3 s We can start by multiplying both sides of the inequality by 3 to clear the denominators of all the fractions.

4/3 s -3< s+2/3-1/3 s

MultIneq

LHS* 3 < RHS * 3

3( 4/3 s -3)< 3(s+2/3-1/3 s)

Distr

Distribute 3

3* 4/3 s -9< 3s+3* 2/3-3* 1/3 s

DenomMultFracToNumber

3 * a/3= a

4s -9< 3s+2-1s

SubTerm

Subtract term