What is d solution set of |2x-3|<7?

Question

pls take notice dat d vertical line means modulus. Send ur email addy if ur a genius in maths i need help!

Answer 1

Split it into two inequalities

2x - 3 < 7 AND 2x - 3 > -7
2x < 10 AND 2x > -4
x < 5 AND x > -2

-2

Answer 2

What does |a| < b mean? It means that:

a < b AND -a < b [same as a > -b]

which implies that:

-b < a < b

You can use the above reasoning to solve any inequalities of the form |a| < b.

So, if b=7 and a=2x-3, then

-7 < 2x-3 AND 2x-3 < 7
=> -4 < 2x AND 2x < 10
=> -2 < x AND x < 5

Similarly if you had an inequality of the form

|a| > b

then a > b OR -a > b [same as a < -b]

You can understand the two methods by
using real numbers and seeing how this works.
Try it and you will never need help again in solving these inequalities. They're easy.

Answer 3

2x 3 7

Answer 4

its been a while but if i remember right it goes like this

|2 x -3|<7 so this means that 2 x -3 = -6. now you have -6<7 the the math formula is correct. |2 x -3|<7 or -6<7 and is correct because -6 is less than 7

Answer 5

|2x + 3| < 11 says: - 11 < 2x + 3 < 11 -14 < 2x < 8 -7 < x < 4 Option A

Answer 6

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RE:
What is d solution set of |2x-3|<7?
pls take notice dat d vertical line means modulus. Send ur email addy if ur a genius in maths i need help!

Answer 7

that means -7 < 2x-3 < 7
or -4 <2x < 10
or -2 < x < 5

Answer 8

|2x-3|<7
2x-3<7 and -(2x-3)<7 {since I2x-3I=2x-3;if2x-3>0}
and{I2x-3I=-(2x-3);if2x-3<0}.
2x-3<7 and -2x+3<7
2x<10 and -2x<4
x<5 and 2x>-4
x<5 and x>-2

Answer 9

I believe the answer is 0

Answer 10

|2x-3|<7
2x-3<7 and -(2x-3)<7
2x-3<7 and -2x+3<7
2x<10 and -2x<4
x<5 and 2x>-4
x<5 and x>-2