Question

Solve the inequality



2x + 9 < 4x + 3

Answer 1

x>3

Explanation:

2x+9<4x+3

2x-4x<3-9 (collect the like terms first)

-2x<-6 (divide both sides by -2 to get the value of x)

`(-2x)/(-2)<(-6)/(-2)` ( the < sign changes because both sides are divided by -2)

x>3.

{x:x>3}= {x=4,5,6,7...}

Check

2x+9<4x+3

2(4)+9<4(4)+3

8+9<16+3

17<19

Answer 2

x > 3

Explanation:

2x+9<4x+3

or, 9-3<4x-2x

or, 6<2x

or, (6/2)<x

or, 3<x

or, x >3