Question

Which inequality has an arrow pointing to the left when the solution set is graphed on a number line?

X55
45
2-8
X>6

Answer 1

`x \le 5`

Explanation:

Given

Options (a) to (d)

Required

Which represents an arrow pointing left

When an arrow points left on an inequality graph, the inequality is either of the following:

`x < a` or
`x \le a`

From the given options (a) to (d), only
`x \le 5` fits the above description.

Other options illustrate an arrow pointing to the right

To further explain this;

Looking at (b), we have:

`4 \le x`

This is rewritten as:

`x \ge 4` --- the same form as (c) and (d)