Solve the following compound inequality. Write the solution in interval notation.

Name: Solve the following compound inequality. Write the solution in interval notation.
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Quizplus · Accepted Answer

The inequality can be written as $-3x-1\leq 5<7+2x.$ Solving for $x$ yields $x\leq -2$ and $x<1.$ The solution is the intersection of these two inequalities, which is $x\leq -2.$ This can be written in interval notation as $(-\infty,-2].$ The only choice that includes this interval is C.

Solve the Following Compound Inequality