Jenny runs five miles a day with an absolute error of three quarters of a mile. Which absolute value equation gives the minimum and the maximum miles that Jenny runs each day. A) |m+5|=0.75 B) |m+5|=-0.75 C) |m-5|=0.75 D) |m-5|=-0.75

5| ≤ ¾

Step-by-step explanation:

We are told that Jenny runs five miles a day.

Also, we are told that he has an absolute error value of ¾ mile.

So, it means the true distance he ran could range from between (5 + ¾) to (5 - ¾) miles.

C) |m-5|=0.75

Step-by-step explanation:

|m-5|=0.75

if m≥5     m-5 = 0.75         m = 5.25   ...  maximum

if m<5     -(m-5) = 0.75      -m + 5 = 0.75         m = 4.25    ... Minimum

|m-5| ≥ 0   D is not the option

l.jnl.j/n.m,lm,

step-by-step explanation:

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!