Question

Select the graph for the solution of the open sentence. Click until the correct graph appears. Ix| + 3 > 3

Answer 1

Given the sentence;

`\mleft|x\mright|+3>3`

Subtracting 3 from both sides;

`\begin{gathered} \mleft|x\mright|+3>3 \\ |x|+3-3>3-3 \\ \mleft|x\mright|>0 \end{gathered}`

Given the absolute value of x to be greater than zero, the range of value of x is;

`\begin{gathered} x>0 \\ or \\ x<0 \end{gathered}`

Therefore, the correct graph of the solution is;