Question

Which of the following is a solution for |x – 6| < 4?
A.
x = –3
B.
x = 2
C.
x = –1
D.
x = 4

Answer 1

use this |x| < a --> -a < x < a

Answer 2

help

Answer 3

thisis what i got @RobertoTB

|x-6|<4

Remove the absolute value term. This creates a \ on the right-hand side of the equation because |x|=\x.
x-6<\(4)

Set up the + portion of the \ solution.
x-6<4

Move all terms not containing x to the right-hand side of the inequality.
x<10

Set up the - portion of the \ solution. When solving the - portion of an inequality, flip the direction of the inequality sign.
x-6>-(4)

Multiply -1 by the 4 inside the parentheses.
x-6>-4

Since -6 does not contain the variable to solve for, move it to the right-hand side of the inequality by adding 6 to both sides.
x>6-4

Subtract 4 from 6 to get 2.
x>2

The solution to the inequality includes both the positive and negative versions of the absolute value.
x<10 and x>2

The solution is the set of values where x<10 and x>2.
2<x<10

Answer 4

i got the same thing

Answer 5

it might be B then .. im not sure

Answer 6

but i dont unders the question

Answer 7

2 < x < 10 --> x = 4. Answer is D, is it clear to you ?

Answer 8

Which two inequalities would you use to solve |2x – 4| < 5?
A.
2x – 4 < 5, 2x – 4 < –5
B.
2x – 4 < 5, 2x – 4 > –5
C.
2x – 4 > 5, 2x – 4 > –5
D.
2x – 4 > 5, 2x – 4 < –5

Answer 9

i need help on this one too

Answer 10

Read my first hint in this topic. Then you know

Answer 11

−1/2<x<9/2

Answer 12

thats what i got

Answer 13

yea same here :/

|2x-4|<5

Remove the absolute value term. This creates a \ on the right-hand side of the equation because |x|=\x.
2x-4<\(5)

Set up the + portion of the \ solution.
2x-4<5

Move all terms not containing x to the right-hand side of the inequality.
2x<9

Divide each term in the inequality by 2.
x<(9)/(2)

Set up the - portion of the \ solution. When solving the - portion of an inequality, flip the direction of the inequality sign.
2x-4>-(5)

Multiply -1 by the 5 inside the parentheses.
2x-4>-5

Since -4 does not contain the variable to solve for, move it to the right-hand side of the inequality by adding 4 to both sides.
2x>4-5

Subtract 5 from 4 to get -1.
2x>-1

Divide each term in the inequality by 2.
(2x)/(2)>-(1)/(2)

Simplify the left-hand side of the inequality by canceling the common factors.
x>-(1)/(2)

The solution to the inequality includes both the positive and negative versions of the absolute value.
x<(9)/(2) and x>-(1)/(2)

The solution is the set of values where x<(9)/(2) and x>-(1)/(2).
-(1)/(2)<x<(9)/(2)

Answer 14

@RobertoTB yes, you are right. But your question did not asked for x value. One thing when doing maths is obeying the question ^^. Can you say A, or B or C or D is the correct answer now ?

Answer 15

A?

Answer 16

or D?

Answer 17

@RobertoTB try again :) my first hint helped you :)

Answer 18

the anwers is C @linh412986

Answer 19

OK @RobertoTB Let me explain.
|2x – 4| < 5

My first hint was: |x| < a --> -a < x <a. Right?

So in your case, -5 < 2x - 4 < 5

What is it correct according to your options?

It must be B.

Doing maths is practicing and reading carefully every sentence of question :)

Answer 20

lol thanks