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Chapter 6: Problem 32

Solve each inequality and graph the solution set on a number line. \(-7 x>21\)

Short Answer

Expert verified
The solution to the inequality is \(x < -3\).

Step by step solution

01

Isolate the variable

To isolate the variable \(x\), divide both sides of the inequality by \(-7\). Remember to switch the inequality sign due to division by a negative number. The solution to the inequality is \(x < -3\).
02

Graph the solution

On a number line, draw an open circle at \(-3\) and shade the entire region to the left of \(-3\) to represent all numbers less than \(-3\).

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Most popular questions from this chapter

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(8 x^{2}+33 x+4\)

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Solve each equation by the method of your choice. \(\frac{x^{2}}{3}-\frac{x}{2}-\frac{3}{2}=0\)

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