Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
Mid-Chapter Quiz
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Exercise 22 Page 193

What can you do to isolate a variable in an inequality?

All real numbers.

Practice makes perfect

Inequalities can be solved in the same way as equations, by performing inverse operations on both sides until the variable is isolated. The only difference is that when we divide or multiply by a negative number, we must reverse the inequality sign.

8z+5-2z ≤ 3(2z+1)+2
8z+5-2z ≤ 6z+3+2
6z+5 ≤ 6z+5
5 ≤ 5

We have reduced the inequality to a statement that is always true. This means that all real numbers are the solution to the given inequality.