Big Ideas Math: Modeling Real Life, Grade 6
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Exercise 19 Page 406

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

Solution: p > 6
Graph:

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.
72 < 12p
72/12 < 12p/12
6 < p
p > 6
We found that all values of p greater than 6 will satisfy the inequality. Now let’s graph the inequality on a number line. Since p cannot equal 6, we draw an open circle at this point. Since p is all values greater than 6, we will shade the part of the number line that represents numbers greater than 6. This means that we shade to the right of our point at 6.