Question

Which graph correctly shows the solution of the compound inequality 4x<16 or 11x>121?

Answer 1

Option 2 is correct answer.

Explanation:

4x<16 ,dividing both sides by 4 ,we get x<4

11x>121 ,dividing both sides by 11, we get x >11

It means all the on number line except between 4 and 11.

that is all the value less than 4 and greater than 11.

in the given option the region is shown by red lines and since both sides it is

strictly less then therefore it is open at both ended.

so the solution is given by option 2

Answer 2

Graph 2

Explanation:

We are given the following compound inequalities and we are to find its solution and then determine whether which of the graphs correctly shows it"

`4 x < 1 6` or
`1 1 x > 1 2 1`

`x < \frac { 1 6 } { 4 } , x > \frac { 1 2 1 } { 1 1 }`

`x > 4, x > 1 1`

Therefore, graph 2 shows it correctly.