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Chapter 6: Problem 31

Solve each inequality and graph the solution set on a number line. \(-3 x<15\)

Short Answer

Expert verified
The solution to the inequality is \(x > -5\).

Step by step solution

01

Isolate x

Divide both sides of the inequality by -3 to isolate \(x\). Remember, the inequality sign flips when divided by a negative number. Hence, we get \(x> -15/-3\).
02

Calculate x

Perform the division on the right side to find the value of \(x\). We get \(x > -5\).
03

Graph on number line

Plot the solution on a number line. An open circle at -5 shows the value is not included, and an arrow to the right of -5 suggests that all numbers greater than -5 are part of the solution.

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