Answer:
−2.5<x<2.5
Step-by-step explanation:
Let's find the critical points of the inequality.
4x2−25=0
4x2−25+25=0+25(Add 25 to both sides)
4x2=25
4x24=25/4(Divide both sides by 4)
x2=25/4
x=±√254(Take square root)
x=2.5,−2.5
Check intervals in between critical points. (Test values in the intervals to see if they work.)
x<−2.5(Doesn't work in original inequality)
−2.5<x<2.5(Works in original inequality)
x>2.5(Doesn't work in original inequality)
