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Klio2033 [76]
2 years ago
12

How can you rewrite (z ≤ −1. 75) in order to find the answer?.

Mathematics
1 answer:
likoan [24]2 years ago
4 0

Answer:

The answer is the picture I inserted the way to rewrite it is set-builder notation.  Hope this helps :)

Step-by-step explanation:

1- write in set-builder notation

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−2(2x+3)≤26<br><br>-<br><br>2<br><br>2<br><br>x<br><br>+<br><br>3<br><br>≤<br><br>26<br><br>?
SashulF [63]

\huge \boxed{\mathbb{QUESTION} \downarrow}

- 2 ( 2 x + 3 ) \leq 26.

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

- 2 ( 2 x + 3 ) \leq 26

Divide both sides by -2. We know that since 2 is negative, it'll be < (less than) 0. So, the direction of inequality will change.

2x+3\geq \frac{26}{-2}  \\

Divide 26 by -2..we'll get the answer as -13.

2x+3\geq -13

Now, subtract 3 from both the sides.

2x\geq -13-3

Subtracting -13 by 3..we'll get the answer as -16.

2x\geq -16

Divide both sides by 2. We know that since 2 is positive, the direction of inequality will remain the same.

x\geq \frac{-16}{2}  \\

Divide -16 by 2..we'll get the answer as -8.

\huge \boxed{ \boxed{ \bf \: x\geq -8 }}

  • The correct answer is ⇨ <u>x </u><u>greater </u><u>than </u><u>or </u><u>equal</u><u> to</u><u> </u><u>-</u><u>8</u><u>.</u>
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