Question

What’s the possible value of 4m-2?

Answer 1

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