Let's solve your inequality step-by-step.
5m<6m+6
Step 1: Subtract 6m from both sides.
5m−6m<6m+6−6m
−m<6
Step 2: Divide both sides by -1.
−m / −1 < 6 / −1
m>−6
Answer:
m>−6
We can simplfiy to be 
.
We know that
is 10 and
is i, so the answer is 10i, or D.
Answer:
0.00998 Inches
Step-by-step explanation:
Thickness of the light bulb filament = 0.01 Inch
Allowable error = 2%.
2% of 0.01 = 0.02 X 0.01 =0.0002 Inch
Therefore, the allowable thickness of the bulb filament

We can then calculate the least allowable thickness of the filament as:

The least allowable thickness of the filament is 0.00998 Inches.
The best way to solve a problem like this is guess and check.
y = 2x + 10
2 = 2(2) +10
2 = 4+10
2 = 14 NO
y = 2x + 10
4 = -3(2) +10
4 = -6 +10
4 = 4 YES . . . C is your answer