Question

For which of the following is x=-5 a solution? Select all that apply. A) x+10=-5 B) -x^2+50=25 C) l2xl =10 D) x<0 E) 2x<10

Answer 1

Let's check each of the cases to determine the solution of the problem

case A) we have

$x+10=-5$

Substitute the value of $x=-5$ in the equation

$(-5)+10=-5$

$5=-5$ ------> the equation is not true

therefore

The value of $x=-5$ is not a solution of the equation

case B) we have

$-x^{2} +50=25$

Substitute the value of $x=-5$ in the equation

$-(-5)^{2} +50=25$

$-(25) +50=25$

$25=25$ ------> the equation is true

therefore

The value of $x=-5$ is a solution of the equation $-x^{2} +50=25$

case C) we have

$\left|2x\right|=10$

Substitute the value of $x=-5$ in the equation

$\left|2(-5)\right|=10$

$\left|-10\right|=10$

$10=10$ -----> the equation is true

therefore

The value of $x=-5$ is a solution of the equation $\left|2x\right|=10$

case D) we have

$x < 0$

Substitute the value of $x=-5$ in the inequality

$-5 < 0$ --------> the inequality is true

therefore

The value of $x=-5$ is a solution of the inequality $x < 0$

case E) we have

$2x$

Substitute the value of $x=-5$ in the inequality

$2*(-5) < 10$

$-10 < 10$ --------> the inequality is true

therefore

The value of $x=-5$ is a solution of the inequality $2x$

the answer is

$-x^{2} +50=25$

$\left|2x\right|=10$

$x < 0$

$2x$

Answer 2

Hello there!

Since we're looking for an equation to have a solution of x = -5, let's solve them from answer choice "A.)" to answer choice "D.)"

x + 10 = -5
x = -15

A.) is not correct.

Let's try B.)

-x^2 + 50 = 25
x^2 = -25
x = -5

Answer choice B.) is correct.
Let's continue looking for answer choices, just in case.

Let's look at answer choice C.)
2x = 10
x = 5
This answer is not correct.

Let's look at answer choice D.)
x < 0
This means x is less than 0, or a negative number.
This answer is not specifically correct.

Let's look at answer choice E.)
2x < 10
x < 5
This is less than 5, but does not specifically answer our chances.

Your answer is B.)

I  hope this helps!