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Match the inequality to its graph

Match the inequality to its graph-example-1
Match the inequality to its graph-example-1
Match the inequality to its graph-example-2

2 Answers

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-1 > -4

3 > 0

1 > -2

3 > -5

I don't understand the second one sorry.

User Nissa
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1 vote

The inequalities should be matched with the graphs that represent them as follows;

6. 4y + 3 ≤ y + 6 ↔ graph C.

7. -2y > 2 ↔ graph A.

8. y/3 < -1 ↔ graph D.

9. 3y ≤ 2y + 3 ↔ graph B.

Based on the information provided, we would determine the solution set for each of the given inequality by simplifying as follows;

4y + 3 ≤ y + 6

By rearranging and collecting like terms, we have the following;

4y - y ≤ 6 - 3

3y ≤ 3

By dividing both sides of the inequality by 3, we have;

y ≤ 1 (solid dot at point 1 and it decreases to the left).

Part 7.

-2y > 2

By dividing both sides of the inequality by -2, we would flip (reverse) the inequality symbol;

-2y/-2 > 2/-2

y < -1 (hollow dot at point -1 and it decreases to the left).

Part 8.

y/3 < -1

By cross-multiplying, we have;

y < -3 (hollow dot at point -3 and it decreases to the left).

Part 9.

3y ≤ 2y + 3

By rearranging and collecting like terms, we have the following;

3y - 2y ≤ 3

y ≤ 3 (solid dot at point 3 and it decreases to the left).

User CaffGeek
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