117k views
1 vote
Find the solution set to this inequality: 2x−3>2x−52

a) x<12
b) x>12
c) x≤12
d) x≥12

1 Answer

4 votes

Final answer:

The solution to the inequality 2x-3>2x-52 does not restrict the value of x to a particular set since the x terms cancel each other out, leading to a statement that is always true, which means any real number is a solution.

Step-by-step explanation:

The question asks to find the solution set for the inequality 2x−3>2x−52. To solve this inequality, we can subtract 2x from both sides to isolate the variables and constants:

  • 2x − 2x > − 52 + 3
  • 0 > − 49

This is always true since 0 is always greater than − 49. However, since the inequality does not actually depend on x (because the x terms cancel each other out), all values of x satisfy this inequality. Therefore, any real number for x is a solution, which means the inequality has infinite solutions and does not restrict the value of x to a particular set. The multiple-choice options provided seem unrelated to the actual inequality presented.

User Bworby
by
8.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories