Question

For which of the following is X=-5 a solution select all that apply 

Answer 1

Let’s plug x=-5 into each function to determine if it is a domain value (x-value) given a range value (y-value).

Remember to follow PEMDAS since the variables will be eliminated:

(-5)+10=-5

5≠-5

Thus, x=-5 is not a solution to the first function. Let’s continue with the second equation:

-(-5)^2+50=25

-(25)+50=25

25=25

Thus, x=-5 IS a solution to this function.

|2(-5)|=10

|-10|=10

10=10

Thus, x=-5 IS a solution to this function.

(-5)<0

This is a true statement, so x=-5 IS a solution to the inequality.

2(-5)<10

-10<10

Thus, x=-5 IS a solution to the function.

So, here’s the list of equations that x=-5 satisfies:

✓ -x^2+50=25

✓ |2x|=10

✓ x<0

✓ 2x<10

Answer 2

x + 10 = -5

|2x|=10

x<0