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Which graph represents the inequality 2.5 is less than the product of −0.5 and a number?

number line with open circle on point 0.2 and arrow shaded to the left
number line with open circle on point negative 5 and arrow shaded to the left
number line with open circle on point negative 0.2 and arrow shaded to the right
number line with open circle on point negative 5 and arrow shaded to the right

Respuesta :

The option that describes the graph of the inequality is:

"number line with open circle on point negative 5 and arrow shaded to the left"

Which graph represents the inequality?

Here we have the following inequality:

2.5 < -0.5*x

First, need to isolate the variable which is x, to do that we divide both sides by -0.5

Remember that because we divide by a negative number, we need to change the direction of the inequality.

2.5/-0.5 > -0.5*x/-0.5

-5 > x

The graph of this inequality will be a number line with an open circle at x = -5, and a line that extends to the left of it, because x is smaller than -5.

Thus the correct option is:

"number line with open circle on point negative 5 and arrow shaded to the left"

Learn more about inequalities:

https://brainly.com/question/24372553

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