solve & sketch solution: 5x - 11 < 2x - 5?

3x < 6
x < 2
If x is a real number, the solution set is :-
{ x : x < 2 , x Є R }

This set is everything to the left of x = 2 on the number line.

5x - 11 < 2x - 5
3x < 6
x < 2

Answer: x < 2 or 2 > x

5x - 11 < 2x - 5
5x - 2x < 11 - 5
3x < 6
x < 6/3
x < 2

5*0-11 = -11
2*0-5 = -5
in this case 5x-11 < 2x-5 / -11 < - 5

5*10-11 = 39
2*10 -5 =15
in this case 5x-11 > 2x-5 / 39 > 15

my answer is : depends on the value of x

5x - 11 < 2x - 5
5x - 11 - 2x < 2x - 2x - 5
5x - 2x - 11 + 11 < 0 - 5 + 11
3x - 0 < -5 + 11
3x < 6
3x / 3 < 6 / 3
x < 6 / 3
x < 2
Sorry I can not sketch in this place

Hi! I dont know if I am on the right track. lol

5x-11 < 2x - 5
3x < -5 + 11
3x < 6
x < 2

solution set : {x/x<2}

5x - 11 < 2x - 5
5x - 2x < - 5 + 11
3x < 6
x < 2

5x-11< 2x-5
thus,
5x-2x <-5 +11
thus 3x <6
thus x<2

so draw the line of equation X=2
that is the line passing through the point (2,0)
and parallel to y axis and shade the entire portion to the left had side of the line...
the shaded portion is your solution!

That is, 5x - 2x <11 - 5 or, 3x<6 or, x<2

Draw a line perpendicular to x-axis and parallel to y-axis through 2, and that's your plot of function.

Shade everything on the left-hand of this line, and that's your plot of in-equality.

5x-11<2x-5
3x<6
x<2

draw x=2

shade the side where x<2 aka. negative side