To solve this inequality, we can begin by isolating the expression `2x + 2`:
-9 < (2x + 2)/4 - 3 ≤ 7
To remove the fraction, we can multiply both sides of the inequality by 4:
4(-9) < 4[(2x + 2)/4 - 3] ≤ 4(7)
-36 < 2x + 2 - 12 ≤ 28
Next, we can simplify the inequality:
-36 - 2 < 2x + 2 - 2 ≤ 28 - 2
-38 < 2x < 26
Finally, we can divide by 2 on all three parts of the inequality:
-19 < x < 13
Therefore, the solution to the given inequality is -19 < x < 13.
Solve the inequality.
`-9<\frac{2x+2}{4}-3\le7`
1 answer
1 answer