Question

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

Answer 1

Answer: C

Step-by-step explanation:

4d - 6 < 18

     +6   +6

4d      < 24

    $\frac{4d}{4} < \frac{24}{4}$

       d < 6

Graph: ←----------------o 6

Answer 2

Answer:

option (c) is correct.

d < 6

On number line this is shown as attached below.

Step-by-step 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,

$\frac{4d}{4}<\frac{24}{4}$

Simplify , we have,

d < 6

On number line this is shown as attached below.

Thus, option (c) is correct.