Question

Based on the graph, which inequality is correct for a number that is to the left of -4?

A number line is shown from negative 8 to 8 at increments of 1. A circle is shown at negative 4. The entire portion of the number line to the left of negative 4 is shaded.

−7 > −4
−6 < −4
−8 > −4
−4 < −9

Answer 1

−6 < −4

Explanation:

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Answer 2

−6 < −4

Explanation:

From the number line, we can conclude the following points:

1. The left region to -4 is shaded.

2. There is a hollow circle at -4 which means -4 is not included in the solution.

3. The numbers that are left to -4 are less than -4 and the numbers that are to the right of -4 are greater than -4

So, the numbers -5, -6, -7, -8, ... and so on are all less than -4.

The numbers -3, -2, -1, 0, .... and so on are all greater than -4.

So, -7 < -4 , -8 < -4 , -4 > -9 and -6 < -4.

Therefore, the correct inequality is:

-6 < -4