The solution set of the inequality 4(3t - 5) + 7 ≥ 8t + 3 is {t : t ≥ 4}
Step-by-step explanation:
The solution of an inequality is a set of values
To solve an inequality
- Simplify each side of it
- Separate the variable terms in one side and the numerical terms in the other side
- Write the solution
∵ 4(3t - 5) + 7 ≥ 8t + 3
- Multiply the bracket by 4
∴ 4(3t) - 4(5) + 7 ≥ 8t + 3
∴ 12t - 20 + 7 ≥ 8t + 3
- Add the like terms in the left hand side
∴ 12t - 13 ≥ 8t + 3
- Subtract 8t from both sides
∴ 4t - 13 ≥ 3
- Add 13 to both sides
∴ 4t ≥ 16
- Divide both sides by 4
∴ t ≥ 4
The solution set of the inequality 4(3t - 5) + 7 ≥ 8t + 3 is {t : t ≥ 4}
Learn more:
You can learn more about solving inequalities in brainly.com/question/1465430
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