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Solve for aa.\newline2(a - 12) > -10

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Full solution

Q. Solve for aa.\newline2(a−12)>−102(a - 12) > -10
  1. Distribute 22 into parentheses: question_prompt: Solve for aa in the inequality 2(a - 12) > -10.
  2. Add 2424 to both sides: First, distribute the 22 into the parentheses: 2 \times a - 2 \times 12 > -10.
  3. Isolate term with aa: That gives us 2a - 24 > -10.
  4. Divide both sides by 22: Now, add 2424 to both sides to isolate the term with aa: 2a - 24 + 24 > -10 + 24.
  5. Final solution: Simplifying that we get 2a > 14.
  6. Final solution: Simplifying that we get 2a > 14. Finally, divide both sides by 22 to solve for aa: \frac{2a}{2} > \frac{14}{2}.
  7. Final solution: Simplifying that we get 2a > 14. Finally, divide both sides by 22 to solve for aa: \frac{2a}{2} > \frac{14}{2}. So, a > 7.

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