Solve the compound inequality -4 ≤ 3 + 7x ≤ 24.
Show the solution sets written algebraically and as a union or intersection of intervals. Describe in words what the solution sets mean, and then display a simple line graph for the solution.
To solve, we have to isolate the x at the middle.
To do so, subtract the whole equation by 3.
And, divide the whole equation by 7.
Hence, the solution to the inequality equation is `-1lt=xlt=3` .
So continuing the principle from the first post with your correction now in place this renders:
-1`<=` x and x `<=` 3
The solution set in words:
This indicates all the numbers to the right of and including -1 and all the numbers to the left of and including 3 . So the intersection is all the numbers between and including -1 and 3.