Answer:
[tex] -2 < x \le 5 [/tex]
Solution in interval notation: (-2, 5]
Step-by-step explanation:
You have a compound inequality. You are solving for x. You want x alone. 4 is being subtracted from x, so you need to add 4 to each of the three "sides" of the inequality.
[tex] -6 < x - 4 \le 1 [/tex]
Add 4 to all three sides.
[tex] -6 + 4 < x - 4 + 4 \le 1 + 4 [/tex]
[tex] -2 < x \le 5 [/tex]
