Answer:
[tex]x\leq -20[/tex]
values ranging from minus infinity to negative 20
Step-by-step explanation:
we write the inequality associated with the text in terms of the unknown number "x" as:
[tex]\frac{3}{4} x-2\leq -17[/tex]
then, we solve for "x" by adding 2 to both sides, and then isolating "x" on the left as shown below:
[tex]\frac{3}{4} x-2\leq -17\\\frac{3}{4} x\leq -17+2\\\frac{3}{4} x\leq -15\\3\,x\leq -60\\x\leq -\frac{60}{3} \\x\leq -20[/tex]
then, the range of x-values is from minus infinity to negative 20
