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Match the inequalities to its graph -2y > 2, y/3 < -1, 3y < 2y+3

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You have the following inequalities:

-2y > 2

y/3 < - 1

3y < 2y + 3

In order to graph the previous inequalities on the number line, you first solve the previous inequalities:

-2y > 2 divide both sided by -2

y < 2/(-2) where you take into account that the division by a negative number change the sense of the inequality

y < -1

y/3 < -1 multiply both sides by 3

y < -1(3)

y < -3

3y < 2y + 3 subtract 2y both sides

3y - 2y < 3

y < 3

THe following image is a sketch of the previous solutions on the number line:

where the orange line is the first solution, the red line is the second solution, and the green line is the third solution

Match the inequalities to its graph -2y > 2, y/3 < -1, 3y < 2y+3-example-1
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