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17 votes
Solve the inequality

7 (q+2) < −77

2 Answers

6 votes

Answer:

q = -12

Explanation:

-12 + 2 = -10

-10 x 7 = -70

-70 < -77

Hope this helps!

User Cleggy
by
5.2k points
3 votes

Answer:

Simplifying

7(q + 2) = -77

Reorder the terms:

7(2 + q) = -77

(2 * 7 + q * 7) = -77

(14 + 7q) = -77

Solving

14 + 7q = -77

Solving for variable 'q'.

Move all terms containing q to the left, all other terms to the right.

Add '-14' to each side of the equation.

14 + -14 + 7q = -77 + -14

Combine like terms: 14 + -14 = 0

0 + 7q = -77 + -14

7q = -77 + -14

Combine like terms: -77 + -14 = -91

7q = -91

Divide each side by '7'.

q = -13

Simplifying

q = -13

Explanation:

User Klee
by
4.5k points