Question

Select the graph of the solution. Click until the correct graph appears.

|x| + 3 > 7

Answer 1

Graph 3.

Explanation:

|x| + 3 > 7

|x| > 4

This means x > 4 or x < -4,

which is the third graph.

Answer 2

Second graph is the correct option as the solution is
`x>4` and
`x<-4`.

Explanation:

We are given the inequality,
`|x|+3>7`.

On simplifying the inequality, we have,

`|x|+3>7`

implies
`|x|>7-3`

i.e.
`|x|>4`

Since, we know,

`|x|=\left \{ {{x,x\geq 0} \atop {-x, x\leq 0}} \right.`

So, we get,

`x>4` and
`-x>4`

i.e.
`x>4` and
`x<-4`

Thus, the solution is the set of numbers less than -4 and greater than 4.

Hence, the second graph is the correct option.