Question

Which inequality is graphed on the number line

Answer 1

2nd option: 3a-11≤7

Explanation:

Step 1: The inequality on the number line is:

`a \leqslant 6`

Step 2: Take a look at the options. First we know that we want values of a which are less than 6 so we get rid of option 1 and 3.

Step 3: Since 6 is included in the inequality so we need to have a ≤ so 2nd option is correct.

QUICK NOTE: if we solve the inequality shown in the 2nd option we'll see it's gonna be a≤6

take a look:

`3a - 11 \leqslant 7 \\ 3a \leqslant 18 \\ a \leqslant 6`