How do you solve $- 18 \leq 6 - 4 x \leq 10$ $-18\leq 6- 4x \leq 10$ ?

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How do you solve $- 18 \leq 6 - 4 x \leq 10$ $-18\leq 6- 4x \leq 10$ ?

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Answer 1 · 2017-01-04T09:21:10

$- 1 \leq x \leq 6$ $-1<=x<=6$

Explanation:

you can separate with 2 inequalities.

$- 18 \leq 6 - 4 x and 6 - 4 x \leq 10$ $-18 <= 6-4x and 6-4x<=10$

A:
$- 18 \leq 6 - 4 x$ $-18<=6-4x$
$- 18 - 6 \leq - 4 x$ $-18-6<=-4x$
$- 24 \leq - 4 x$ $-24<=-4x$
due to -ve coeficient for x, interchange the location.
$4 x \leq 24$ $4x <= 24$
$x \leq \frac{24}{4}$ $x<=24/4$
$x \leq 6$ $x<=6$

B:
$6 - 4 x \leq 10$ $6-4x<=10$
$- 4 x \leq 10 - 6$ $-4x<=10-6$
$- 4 x \leq 4$ $-4x<=4$
due to -ve coeficient for x, interchange the location.
$- 4 \leq 4 x$ $-4<=4x$
$- \frac{4}{4} \leq x$ $-4/4<=x$
$- 1 \leq x$ $-1<=x$

now we have
$x \leq 6 and x \geq - 1$ $x<=6 and x>=-1$

therefore the answer is
$- 1 \leq x \leq 6$ $-1<=x<=6$

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How do you solve $- 18 \leq 6 - 4 x \leq 10$ $-18\leq 6- 4x \leq 10$ ?

1 Answer

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Science

Math

Humanities

... and beyond

How do you solve −18≤6−4x≤10-18\leq 6- 4x \leq 10?

1 Answer

Explanation:

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How do you solve $- 18 \leq 6 - 4 x \leq 10$ $-18\leq 6- 4x \leq 10$ ?