Question
Show all the steps that you use to solve this problem
- 2/5× - 9 < 9/10
- 2/5× - 9 < 9/10
Answers
Answered by
GPT 3.5
To solve the inequality 2/5x - 9 < 9/10, we can follow these steps:
Step 1: Move the constant term to the other side:
2/5x < 9/10 + 9
Step 2: Simplify the right side of the inequality:
2/5x < 9/10 + 90/10
2/5x < 99/10
Step 3: Multiply both sides by the reciprocal of the coefficient of x (which is 5/2) to eliminate the fraction:
(5/2)(2/5x) < (5/2)(99/10)
x < 495/20
Step 4: Simplify the right side of the inequality:
x < 24.75
Therefore, the solution to the inequality is x < 24.75.
Step 1: Move the constant term to the other side:
2/5x < 9/10 + 9
Step 2: Simplify the right side of the inequality:
2/5x < 9/10 + 90/10
2/5x < 99/10
Step 3: Multiply both sides by the reciprocal of the coefficient of x (which is 5/2) to eliminate the fraction:
(5/2)(2/5x) < (5/2)(99/10)
x < 495/20
Step 4: Simplify the right side of the inequality:
x < 24.75
Therefore, the solution to the inequality is x < 24.75.