Question

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

Answer 1

Let x be the number. 2.5 < (−0.5)x. Divide by −0.5 and reverse the inequality: x < −5.

So the number line with an open circle at −5 and shading to the left is correct.