Write and solve a real-world problem that represents the following one-variable inequality. Then solve the inequality, showing all steps. 200 + 0.75x ≤100 + 2.50x
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given the inequality:
200 + 0.75x ≤100 + 2.50x
Solution:
In order to solve the inequality, we transpose 0.75x and 100 on the opposite sides of the equation, hence we must take note that when transposing a number, the sign changes.
200 + 0.75x ≤100 + 2.50x
200 - 100 ≤ 2.50x - 0.75x
100 ≤ 1.75x
Divide both sides by 1.75 in order to get the value of x.
57.14 ≤ x
Final answer:
57.14 ≤ x