How do you solve the inequality $- 4 < \frac{x}{4} - 6$ $-4<x/4 - 6$ ?

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How do you solve the inequality $- 4 < \frac{x}{4} - 6$ $-4<x/4 - 6$ ?

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Answer 1 · 2018-05-02T19:45:08

$x > 8$ $x>8$

Explanation:

$isolate \frac{x}{4} by adding 6 to both sides$ $"isolate "x/4" by adding 6 to both sides"$

$\Rightarrow 2 < \frac{x}{4}$ $rArr2 < x/4$

$multiply both sides by 4$ $"multiply both sides by 4"$

$\Rightarrow 8 < x or x > 8$ $rArr8 < x" or "x>8$

Answer 2 · 2018-05-02T19:48:07

Remember to reverse the inequality IFF you multiply (or divide) by a negative number. Isolate the x term on either side of the inequality, just as if it were an equal sign.

Explanation:

Add 6 to both sides of the inequality, then multiply by 4.

$- 4 < \frac{x}{4} - 6,$ $-4 < x/4 - 6,$
$- 4 + 6 < \frac{x}{4} - 6 + 6,$ $-4 + 6 < x/4 - 6 + 6,$
$2 < \frac{x}{4},$ $2 < x/4,$
$2 \cdot 4 < (\frac{x}{4}) \cdot 4,$ $2 * 4 < (x/4) * 4,$
$8 < x$ $8 < x$

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How do you solve the inequality $- 4 < \frac{x}{4} - 6$ $-4<x/4 - 6$ ?

2 Answers

Explanation:

Explanation:

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How do you solve the inequality $- 4 < \frac{x}{4} - 6$ $-4<x/4 - 6$ ?