What is |2x-3| less than or equal to 7??

Mathematics

2 answers:

Trava [24]3 years ago

8 0

|2x-3|=2x-3 ;x≥ 3/2
|2x-3|=-2x+3;x≤3/2

zalisa [80]3 years ago

7 0

|2x-3| </= 7. This needs to be split into 2 separate inequalities, due to the | | absolute value phrase.
1) 2x-3 </= 7 --> 2x-3 +3 </= 7 +3
2x </= 10 --> x </= 5
2) 2x-3 >/= -7 --> 2x-3 +3 >/= -7 +3
2x >/= -4 --> x >/= -2
These two inequalities can be placed together as: -2 </= x </= 5
So the numbers that are correct for the original inequality are: -2, -1, 0, 1, 2, 3, 4, 5
Hope that helps!

You might be interested in

Find the range of ƒ(x) = –x + 4 for the domain {–3, –2, –1, 1}.

qaws [65]

Answer:

range {3, 5, 6, 7 }

Step-by-step explanation:

to find the range substitute each value of x from the domain into f(x)

f(- 3) = -(- 3) + 4 = 3 + 4 = 7

f(- 2) = - (- 2 + 4 = 2 + 4 = 6

f(- 1) = - (- 1) + 4 = 1 + 4 = 5

f(1) = - 1 + 4 = 3

range y ∈ { 3, 5, 6, 7 }