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What can you do to isolate a variable in an inequality?
Solution: s < 11
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.
Commutative Property of Addition
Add terms
LHS-33>RHS-33
Subtract term
33-33=0
Rearrange inequality
Note that all values of s less than 11 satisfy the inequality. Now let’s graph the inequality on a number line. Since s cannot equal 11, we draw an open circle at this point. Since s is less than 11, we will shade the part of the number line that represents numbers less than 11. This means that we shade to the left of our point at 11.