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# Inequality

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How many negative integers m satisfy the inequality 3/m <= -7/2?

Jun 14, 2022

### Best Answer

#1
+556
+1

$$\frac{3}{m}\le \:-\frac{7}{2}$$

$$\frac{6+7m}{m}\le \:0$$

$$-\frac{6}{7}\le \:m<0$$

I think you got it from here after looking at the intervals...

-Vinculum

Jun 15, 2022

### 1+0 Answers

#1
+556
+1
Best Answer

$$\frac{3}{m}\le \:-\frac{7}{2}$$

$$\frac{6+7m}{m}\le \:0$$

$$-\frac{6}{7}\le \:m<0$$

I think you got it from here after looking at the intervals...

-Vinculum

Vinculum Jun 15, 2022