Question

What are the solutions of the compound inequality? Graphvthe solutions. -2 < 4x - 10 < 6

Answer 1

we have that

-2 < 4x - 10 ------> -2+10 < 4x----> 8 < 4x-----> 2 < x-----> x> 2

4x - 10 < 6----> 4x < 10+6----> x < 16/4------> x < 4

the solution is the interval  (2,4)

using  a graph tool
see the attached figure