Question

1. Find the possible values of r in the inequality 5 > r - 3.

OA.r = 8.
OB. r<2
OC.r=2
D. r<8

Answer 1

The value of r is:

r < 8

Work/explanation:

Here's how the inequality is solved.

Recall that the process for solving an inequality is almost the same as for solving an equation.

First let's rearrange the inequality

`\sf{5 > r - 3}`

`\sf{r - 3 < 5}`

Now, add 3 to the right side and simplify :

`\sf{r < 8}`

Hence, D is correct.

Answer 2

D. r<8

Explanation:

5 > r - 3

To find the possible solutions for the inequality, isolate r on one side of the inequality.

Add 3 to each side.

5+3 > r - 3+3

8 > r