Thread: equations and inequallities

Hi

I apologize If I didn't choose the right forum, for my new thread, but I really need some help with my homework

/ / Used for absolute value

Solve Inequalities:

a. /2x-3/<5
b. /x^2-5x+6/>2
c. /x/>x+1
d. (x+1)(3x-5)<0
e. 2/x/+3>5

Solve equations:

a. /x+1/-/x+2/=2
b. /2x+3/=x^2

I'd appreciate the way of solving too, not just the results

Respectfully
Alternative

Originally Posted by alternative

Hi

I apologize If I didn't choose the right forum, for my new thread, but I really need some help with my homework

/ / Used for absolute value

Solve Inequalities:

a. /2x-3/<5
b. /x^2-5x+6/>2
c. /x/>x+1
d. (x+1)(3x-5)<0
e. 2/x/+3>5

Solve equations:

a. /x+1/-/x+2/=2
b. /2x+3/=x^2

I'd appreciate the way of solving too, not just the results

Respectfully
Alternative

HI

next time , do not post so many questions in one thread . Its against the rules of the forum . Post one or two , then try to solve the rest and come back if you are really lost .

I will show you a few , then u try out the rest . OK ?

(b) |x^2-5x+6|>2

The properties of absolute value tells us that |x|>a , then x>a , x<-a

so here .. try continue here

then the other case would be .. this is complex so we can just ignore .

(c) |x|>x+1

square both sides ..





(a)



square both sides



Then square again ..


carry on here .

Thank You Very Veryyyyy Much, And Sorry, I Didn't Meant To Break The Rules