Question

Solve the inequality. -10 ≤ 2x -4 < 8

Answer 1

So if you split it into two inequalities, $-10 \leq 2x-4$ and $2x-4\ \textless \ 8$ you can solve each. The first half equates to $-3 \leq x$ and the second half is $x\ \textless \ 6$ so it recombines to mean $-3 \leq x\ \textless \ 8$

Answer 2

Let's solve your inequality step-by-step.
−10≤2x−4<8−10+4≤2x−4+4<8+4 
(Add 4 to all parts)
−6≤2x<12−62≤2x2<122 
(Divide all parts by 2)
−3≤x<6