How do you solve and graph $- 23 \leq 2 x - 1 \leq 1$ $-23<=2x - 1<=1$ ?

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How do you solve and graph $- 23 \leq 2 x - 1 \leq 1$ $-23<=2x - 1<=1$ ?

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Answer 1 · 2016-06-21T20:21:17

$- 11 \leq x \leq 1$ $-11 <= x <= 1$

Explanation:

Work out the two sides of the inequality separately:

$- 23 \leq 2 x - 1 \leq 1$ $-23<=2x -1 <=1$

$- 23 \leq 2 x - 1 and 2 x - 1 \leq 1$ $-23<=2x -1 " and "2x -1 <=1$
On the left, keep the x on the right. On the right keep it on the left.

$- 23 + 1 \leq 2 x 2 x \leq 1 + 1$ $-23+1 <=2x " " 2x <= 1+1$
$- 22 \leq 2 x 2 x \leq 2$ $-" "22 <=2x " " 2x <=2$
$- 11 \leq x x \leq 1$ $" "-11 <= x " " x <= 1$

The two x terms are the same x, so combine them into one inequality:

$- 11 \leq x \leq 1$ $-11 <= x <= 1$

To graph it:

On a number line graph there will be a closed circle on -11 and a closed circle on 2, because both of these values are INCLUDED in the solution. Draw a line between the two circles to indicate that $x$ $x$ can be any Real number between them.

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How do you solve and graph $- 23 \leq 2 x - 1 \leq 1$ $-23<=2x - 1<=1$ ?

1 Answer

Explanation:

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Science

Math

Humanities

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How do you solve and graph −23≤2x−1≤1-23<=2x - 1<=1?

1 Answer

Explanation:

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How do you solve and graph $- 23 \leq 2 x - 1 \leq 1$ $-23<=2x - 1<=1$ ?