Explain why the solution of 5x – 3 > 14.5 or < 4 has a solution of all real numbers, with one exception.

Because the numbers are real numbers at the end of the day

When solving the first inequality, you get x > 3.5. When solving the second inequality, you get x < 3.5. The solution of an “or” compound in equality is everything in both solution sets, so the solution set is all of the numbers less than 3.5 and greater than 3.5. Since neither of the inequalities includes 3.5, the compound inequality has a solution of all real numbers except 3.5.

Step-by-step explanation: