Question

For what value of x does each expression make sense?: square root 13-(13-2x)

Answer 1

To find the value of x that makes the expression make sense, we need to ensure that the expression inside the square root is not negative. The value of x that makes the expression make sense is any number less than or equal to 6.5.

Step-by-step explanation:

To find the value of x that makes the expression make sense, we need to ensure that the expression inside the square root is not negative. Since the square root of a negative number is undefined in the real number system, we have the inequality: 13 - (13 - 2x) ≥ 0. Now, we can solve this inequality for x:

1. Subtract 13 from both sides: - (13 - 2x) ≥ -13
2. Divide both sides by -2 and reverse the inequality sign: x - 6.5 ≤ 0
3. Add 6.5 to both sides: x ≤ 6.5

Therefore, the value of x that makes the expression make sense is any number less than or equal to 6.5.