Posted by **alex** on Saturday, August 13, 2011 at 1:34pm.

What are all values of x for which |2x-3| < 7 ?

- Math -
**Ms. Sue**, Saturday, August 13, 2011 at 1:42pm
1, 2, 3, 4

- Math -
**drwls**, Saturday, August 13, 2011 at 3:35pm
If 2x-3 > 0, which means x >or 1.5,

Ms Sue has provided some but not all possible values of x.

First assume 2x-3 >0

This requires x > 1.5, and

2x-3 < 7

That means x < 5.

Therefore 1.5 < x < 5 are answers.

If 2x < 3, which means x < 1.5,

3 - 2x < 7

x > -2

Therefore -2 < x < 1.5 are answers

Put them together and you find that -2 < x < 5 is the range of answers.

## Answer This Question

## Related Questions

- Maths - The question is "Show that z-2 is a factor of P(z)= z^3+mz^2+(3m-2)z-10m...
- linear math - Let u=(2,0,k,-1) v=(-4,0,-3,2) and w= (0,1,0,0). Each answer must ...
- Math - x^2+x-k find all positive values for k, if it can be factored Allowed ...
- Math - Find the sum of the absolute values of all integral values of X that make...
- Maths integration - Please help! These 2 questions are very similar, and i tried...
- math - given that 4x^2-6x+9=A(x-1)(2x+1)+B(x-1)+C for all values of x, find the ...
- Math - Consider the equation log(b,a^2)=c a) What are all possible values of a? ...
- math - If #(w,x,y,z)means you raise w,x,and y to the power of z and then take ...
- Physics - Consider the following standing wave, (all units are SI) z=0.2sin(0.4y...
- Physics - Consider the following standing wave, (all units are SI) z=0.2sin(0.4y...

More Related Questions