Question

Help me with this please

Answer 1

-2 < x < 5

Explanation:

Just separate the problem into 2 peaces

-6 < x-4 and x-4 < 1

solve for x on both

-6 < x-4 x-4 < 1

+4 +4 +4 +4

-2 < x x < 5

Fuse the 2 problems back together for the answer

Answer 2

`-2 < x \le 5`

Solution in interval notation: (-2, 5]

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.

`-6 < x - 4 \le 1`

Add 4 to all three sides.

`-6 + 4 < x - 4 + 4 \le 1 + 4`

`-2 < x \le 5`