Verified Answer :

Joykat

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

View image Joykat

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 \(-3 \leq x\ \textless \ 8\)