Question

Solve the inequalities

5(-3) > 7y +6

Answer 1

y < -3.

Explanation:

1. Write the expression.

`5(-3) > 7y +6`

2. Simplify the left hand side of the equation.

`-15 > 7y +6`

3. Subtract 6 from both sides of the equation.

`-15-6 > 7y +6-6\\ \\-21 > 7y`

4. Divide both sides by 7.

`(-21)/(7) > (7y)/(7) \\ \\-3 > y\\ \\y < -3`

5. Verify.

In order to verify the answer, we must take the calculated value of "y" and substitute it by "y" in the original expression. The final result should be the inequality showing the same value on both sides of the symbol.

`5(-3) > 7(-3) +6\\ \\-15 > -21+6\\ \\-15 > -15`

That's correct! Hence, y < -3 is the correct answer.