Question

For what values of the variable does each of the following expressions make sense? t(-3(1-5x))

a) x > 1/5
b) x < 1/5
c) x ≠ 1/5
d) x = 1/5

Answer 1

The expression t(-3(1-5x)) is defined for all values of x, making each of the listed conditions unnecessary; it makes sense for every value of x.

Step-by-step explanation:

The expression t(-3(1-5x)) makes sense for all real numbers because there are no operations in the expression that would be undefined, such as division by zero or taking the square root of a negative number in the real number system. Therefore, the expression is defined for all values of x, and none of the given options a) x > 1/5, b) x < 1/5, c) x ≠ 1/5, or d) x = 1/5 are excluded values for the variable x. So, the correct answer is that the expression makes sense for every value of x.