Question

Which graph represents the solution to one seventh m is less than or equal to negative one twenty second?

number line with closed circle on point negative 14 over 11 and arrow shaded to the right
number line with closed circle on point negative 7 over 22 and arrow shaded to the right
number line with closed circle on point negative 14 over 11 and arrow shaded to the left
number line with closed circle on point negative 7 over 22 and arrow shaded to the left

Answer 1

Answer: Choice D

number line with closed circle on point negative 7 over 22 and arrow shaded to the left

In other words, we shade to the left of -7/22 and have a closed circle at this endpoint.

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Step-by-step explanation:

Let's solve for m. To do so, we multiply both sides by 7 to clear out the fraction on the left side.

`(1)/(7)m \le -(1)/(22)\\\\7*(1)/(7)m \le 7*\left(-(1)/(22)\right) \ \ \text{ ... multiply both sides by 7}\\\\m \le -(7)/(22)`

The inequality sign doesn't flip since we didn't multiply both sides by a negative number.

The graph will involve a closed circle on the point -7/22 and an arrow shaded to the left. Therefore, it leads to choice D being the final answer.

This visually describes all values of m that either m = -7/22 or m < -7/22.

Side note: if there wasn't an "or equal to", then use an open circle or open hole, rather than a closed circle.