Why does the solution for an absolute value equation or inequality typically result in a pair of equations or inequalities?

1 answer:

3 0

And represents the distance between a and 0 on a number line. Has two solutions x = a and x = -a because both numbers are at the distance a from 0. This holds true for all absolute value inequalities. ... Because by definition, the absolute value of a number is its distance from 0 on a number line which means that there are two such numbers: a positive/negative number

You might be interested in

Estimate the total shaded area below, list all that are correct: A. 14/28 B. 2 1/10 C. 2 100/200 D. 5/2

Nonamiya [84]

Answer:

it is 2 1/10 i took the test from K12

Step-by-step explanation:

5 0

3 years ago

Jamie can read at a speed of 65 pages per hour. If she reads a novel that has 400 pages, how long will it

horsena [70]

To find the answer set up an equation:
$400 \: pages \times \frac{1 \: hour}{65 \: pages} =$
Using this set up we can cross our units of pages since they are on opposite side of the proportion, leaving us with the desired units of hours.

Then divide 400 by 65 which will give us our answer: 6.15 or about 6 hours for Jamie to finish her reading.

8 0

2 years ago

In the diagram below segment DEF is shown (since all three letters are shown, they are collinear). If

monitta

Answer:

x = 4

Step-by-step explanation:

Given

DE = 3x + 2, EF = x + 5, DF = 23

As per segment addition postulate

DE + EF = DF

Substituting values:

3x + 2 + x + 5 = 23
4x + 7 = 23
4x = 16
x = 4

3 0

3 years ago

A car travels 100 meters in 5 seconds. what is the speed of the car

professor190 [17]

20m/s
Speed=distance/time
Speed = 100/5 = 20

Answer = 20m/s

3 0

3 years ago

Read 2 more answers

Find the value of x in the shown figure

zhannawk [14.2K]

Im not really sure if im right but i think the answer is 140-

Explanation:
I added 30+10 which equalled 40 and then i noticed the circle which would equal 360 and subtracted it from the 40 however that got me more then i needed since it wasnt one of the choices. Then i thought hmm maybe its a supplementary angle which usually equals 180 so i subtracted it from 40 which got me 140! Like i said i dont know if im right or not :(

3 0

3 years ago