Question

Two less than three-fourths of a number is, at most, negative seventeen. what is the range of values for the number?

Answer 1

`x\leq -20`

values ranging from minus infinity to negative 20

Explanation:

we write the inequality associated with the text in terms of the unknown number "x" as:

`(3)/(4) x-2\leq -17`

then, we solve for "x" by adding 2 to both sides, and then isolating "x" on the left as shown below:

`(3)/(4) x-2\leq -17\\(3)/(4) x\leq -17+2\\(3)/(4) x\leq -15\\3\,x\leq -60\\x\leq -(60)/(3) \\x\leq -20`

then, the range of x-values is from minus infinity to negative 20