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I need help with this, please!

5 − 3 (y + 2) ≤ 6y - 10
Select the appropriate response
A)2 ≤ 6y - 10
B)y ≤ 3
C)y ≤ 1
D)2 ≤ 6y - 1

Respuesta :

Answer:

The answer to your question is None of the options, the answer is y ≥ 1

Step-by-step explanation:

Inequality

                      5 - 3 (y + 2) ≤ 6y - 10

1.- Expand

                      5 - 3y - 6 ≤ 6y - 10

2.- Simplify like terms

                        -3y - 1 ≤ 6y - 10

3.- Add -6y in both sides

                       - 3y - 6y - 1 ≤ 6y - 10 - 6y

4.- Simplify

                      -9y - 1 ≤ -10

5.- Add 1 in both sides

                     -9y - 1 + 1 ≤ -10 + 1

6.- Simplify

                              -9y ≤ -9

7.- Divide both sides by -9 and change ≤ by ≥

                              -9/-9 y ≥ -9/-9

8.- Simplify

                                      y ≥ 1