Cumulative Practice
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What can you do to isolate a variable in an inequality?
A
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. Let's solve our inequality!
LHS+8=RHS+8
Add terms
LHS * (- 4)=RHS* (- 4)
- 4 * a/- 4= a
- a(- b)=a* b
Identity Property of Multiplication
The above tells us that all values of x that are less than or equal to 4 will satisfy the inequality. Now we can graph the solution set of the inequality on a number line. Notice that x can equal 4, which we show with a closed circle on the number line.
This result corresponds to answer A.