Question

Choose the inequality that represents the following graph.

Answer 1

B.
`x\leq -4`

Explanation:

When you graph the inequality, you use the following;

If the equation has a
`\leq` sign, you use a closed circle and it goes left, since it is less than.

When you graph, you look at what sign the equation has, and you look at what number the variable (x) is less than or greater than and put the dot on that number. In this case, it is
`\leq` -4, so the dot will be on -4.

When you put it all together;

Since it is
`\leq`, there will be a closed circle.

The equation is x
`\leq` -4, so the dot will go on the -4 and go left.

All of the characteristics of the equation match the graph, therefore, it is B. x
`\leq` -4.

Hope this helps!! :)

Answer 2

B.

Explanation:

Because the circle or dot on the number line is filled (isn't hollow), it means that it include the number 4.

Also, since the line is going towards the right (becoming less and less), the number (x) must be -4 or less.