Question

Need help haven’t been able to get this question right for while

Answer 1

Step-by-step explanation

Absolute value basically measures how far the number is from zero,for example

`\lvert x\rvert`

as we can see

`\lvert x\rvert=\lvert-x\rvert`

hence,

Step 1

`\lvert x\rvert=0`

so, we need to find a number such the distance from zero to that number be zero,

therefore , that number is zero

hence

`\begin{gathered} x_1=0 \\ x_2=0 \end{gathered}`

Step 2

`\lvert x\rvert=2`

now, weed to find a value such distance from zero is 2, so those values are +2 and -2

`\begin{gathered} x_1=2 \\ x_2=-2 \end{gathered}`

Step 3

c)

`\lvert x\rvert=-6`

the solution of a absolute value function is always positive, remeber we are talking about a distance, so, there is not solutioni

`\begin{gathered} c) \\ x_1=DNE \\ x_2=\text{DNE} \end{gathered}`

I hope this helps you