Question

Which graph shows the solution to the following inequality? 4d-6<18

Answer 1

option (c) is correct.

d < 6

On number line this is shown as attached below.

Explanation:

Given inequality 4d - 6 < 18

We have to plot the inequality and check out of given graph which graph satisfies the Given inequality 4d - 6 < 18

Consider the given inequality 4d - 6 < 18

Add 6 both sides, we have,

4d - 6 + 6 < 18 + 6

Simplify we get,

4d < 24

Now, divide both side by 4, we have,

`(4d)/(4)<(24)/(4)`

Simplify , we have,

d < 6

On number line this is shown as attached below.

Thus, option (c) is correct.

Answer 2

Answer: C

Explanation:

4d - 6 < 18

+6 +6

4d < 24

`(4d)/(4) < (24)/(4)`

d < 6

Graph: ←----------------o 6