Question

For the following exercises, determine whether the functions are even, odd, or neither.

19. Solve |2x − 3 | = 17.

Answer 1

The solutions of the equation |2 x-3|=17

are x=10

and x=-7

Explanation:

Given equations is |2 x-3|=17.

It is required to find out the values of x satisfying the given equation.

To find it out, use the fact that the solution of this type of equation is 2x-3=17.

Or 2x-3=-17 and simplify the equations using simple mathematical operations.

Step 1 of 2

Solve the equation 2x-3=17,

Add 3 on both sides of the equation 2x-3=17,

2x-3+3=17+3

2x=20

Divide by 2 on both sides of the equation 2x=20,

`$$\begin{aligned}&(2 x)/(2)=(20)/(2) \\&x=10\end{aligned}$$`

Step 2 of 2

Solve the equation 2x-3=-17,

Add 3 on both sides of the equation 2x-3=-17,

`$2 x-3+3=-17+3$\\ $2 x=-14$`

Divide by 2 on both sides of the equation 2x=-14,

`$$\begin{aligned}&(2 x)/(2)=(-14)/(2) \\&x=-7\end{aligned}$$`