Answer:
6 ≤ 4m-2 ≤ 65
Step-by-step explanation:
-3/8 ≤ -m/2 +8 ≤7
Multiply each part by 8 to get rid of the fractions
8* (-3/8) ≤ 8*(-m/2 +8) ≤7*8
-3 ≤ -4m +64 ≤56
Now multiply by -1 to make m positive, remembering to flip the inequalities
-1*-3≥-1( -4m +64)≥-1*56
3≥ 4m -64≥-56
Add 62 to each part ( we want 4m-2)
3+62≥ 4m -64+62≥-56+62
65≥ 4m -2≥6
We can flip the presentation so that it has greater thans
6 ≤ 4m-2 ≤ 65
