Question

Choose the correct description of the graph of the inequality x − 3 < 5.

Open circle on 8, shading to the left.
Closed circle on 8, shading to the left.
Open circle on 8, shading to the right.
Closed circle on 8, shading to the right.

Answer 1

x - 3 < 5

Add 3 to both sides.

x < 8

Open circle on 8. Shade to the left.

Answer: The first option.

Answer 2

Open circle on 8, shading to the left.

Explanation:

Here we have an inequality problem.

we need to have the X alone, so we can add +3 on both sides, that is:

`x-3+3<5+3\\x<8`

thus means that X can take any value less than 8, but 8 is not included, that's why we have to use an open circle.