Question

Select the graph of the solution. Click until the correct graph appears. |x| + 3 > 7

Answer 1

Answer:

Graph 3.

Step-by-step explanation:

|x| + 3 > 7

|x| > 4

This means x > 4 or x < -4,

which is the third graph.

Answer 2

Answer:

Second graph is the correct option as the solution is $x>4$ and $x$.

Step-by-step 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 $x$

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

Hence, the second graph is the correct option.