What value or values of x satisfy 2|x+5.3|=4.2 a. x can only equal –3.2. b. x can only equal 7.4. c. x can equal –3.2 or –7.4. d. x can equal –3.2 or 7.4.

Question

asked Jun 13, 2017 204k views

2 Answers

Mohasin Ali · Answer 1 · 2017-06-15T06:03:52+0000

We have, /x+5.3/ = 2.1;
Then, x + 5.3 = 2.1 or x + 5.3 = -2.1;
x = 2.1 - 5.3; x = -3.2;
x = -2.1-5.3; x = -7.4;
The correct answer is c.

Secustor · Answer 2 · 2017-06-19T05:04:50+0000

we have

$2\left|x+5.3\right|=4.2$

Step 1

Find the first solution (case positive)

2(x+5.3)=4.2

Eliminate the parenthesis left side

2x+10.6=4.2

Subtract
10.6 both sides

2x=4.2-10.6

2x=-6.4

Divide by
both sides

x=-3.2

Step 2

Find the second solution (case negative)

2[-(x+5.3)]=4.2

Eliminate the parenthesis left side

-2x-10.6=4.2

Adds
10.6 both sides

-2x=4.2+10.6

-2x=14.8

Divide by
both sides

x=-7.4

therefore

the answer is the option C

x can equal –3.2 or –7.4