Question

Write an inequality then solve. Please use x as the variable. Four times the sum of a number and 15 is at least 120.

A) 4x + 15 ≥ 120; x ≥ 26.25
B) 4x + 15 ≤ 120; x ≤ 26.25
C) 4x + 15 > 120; x > 26.25
D) 4x + 15 < 120; x < 26.25

Answer 1

To solve the inequality, start by translating the sentence into a mathematical expression. Divide both sides of the inequality by 4 and simplify to find the solution.

Step-by-step explanation:

To solve this inequality, we need to translate the given sentence into a mathematical expression.

The sentence 'Four times the sum of a number and 15 is at least 120' can be written as 4(x + 15) ≥ 120.

To solve this, we can start by dividing both sides of the inequality by 4: (x + 15) ≥ 30.

Then, we can subtract 15 from both sides: x ≥ 15. Simplifying the inequality, we get the final solution: x ≥ 15.