Question

Write and solve an inequality for; 10 is no more than 5 times the sum of twice a number, n, and 5.

Answer 1

To write and solve the inequality, we need to translate the information provided into mathematical expressions and follow the steps to solve it.

Step-by-step explanation:

To write and solve an inequality for the given question, we need to translate the information provided into mathematical expressions. The question states that 10 is no more than 5 times the sum of twice a number, n, and 5. We can express this as: 10 ≤ 5(2n + 5).

To solve the inequality, we can follow the steps:

1. Distribute the 5 to the terms inside the parentheses: 10 ≤ 10n + 25.
2. Subtract 25 from both sides: 10 - 25 ≤ 10n.
3. Simplify: -15 ≤ 10n.
4. Divide both sides by 10: -1.5 ≤ n.

Therefore, the inequality is -1.5 ≤ n.