|2x-3|=11

Question

|2x-3|=11

tkhunny · Answer

What TWO values have the absolute value of 11?

anonymous · Answer

|2x – 3| = 11 

2x – 3 = 11 or 2x – 3 = -11 

2x = 11+3 or 2x = -11+3 

2x = 14 or 2x = -8 

x = 14/2 or x = -8/2 

x = 7 or x = -4 

So the solutions are x = 7 or x = -4

anonymous · Answer

can you help me with this one . . . .     5|2x+1|-3<7

tkhunny · Answer

Why is it different?
Add 3
Divide by 5
What two values can you think of that have the resulting absolute value?

anonymous · Answer

I got the first one . its x< 1\2    I need help finding out the other one

whpalmer4 · Answer

$$5|2x+1|-3<7$$Add 3 to each side
$$5|2x+1| < 10$$Divide both sides by 5
$$|2x+1| < 2$$
Now you have two cases:
$$2x+1 < 2$$$$2x < 1$$$$x < \frac{1}{2}$$

$$-(2x+1) < 2$$
Solve in the same way, starting by distributing the -1 on the left side.  Don't forget, if you multiply or divide by a negative number, you change the direction of the inequality sign.