Solve the inequality: (7 + 2x) - 4 > 21. Express the solution in set notation. a) x b) x < 9 c) x d) x < 7.5

Question

Solve the inequality: (7 + 2x) - 4 > 21. Express the solution in set notation.

a) x > 9
b) x
c) x > 7.5
d) x < 7.5

Answer 1

After simplifying and solving the inequality (7 + 2x) - 4 > 21, we find that the solution is x > 9. Therefore, the correct answer expressed in set notation is x > 9.

Step-by-step explanation:

To solve the inequality (7 + 2x) - 4 > 21, follow these steps:

1. Simplify the left side by combining like terms: (7 + 2x) - 4 becomes 3 + 2x.
2. Subtract 3 from both sides to isolate the term with x: 2x > 21 - 3, which simplifies to 2x > 18.
3. Divide both sides by 2 to solve for x: x > 18 / 2, which simplifies to x > 9. So the solution to the inequality is x > 9.

The solution set in set notation is x . Hence, the correct answer is (a).