Question

Solve for x. Graph the solution 9x+2<6x-13

Answer 1

Have you considered

1) Subtracting 2
2) Subtracting 6x
3) Dividing by 3

??

Answer 2

No haven't tried that my main focus is trying to graph it but without know what is the y it is hard to use a graphing calculator online

Answer 3

Ah, well, do those three things to both sides if the inequality and see what remains.

Answer 4

one approach
graph the 2 lines first
y =9 x + 2 and y = 6 x -13

Answer 5

did that but not understanding the the graphs

Answer 6

for each value of x on the line 6 x -13 compare with the value of y on the line 9 x + 2

when is the value of (9 x + 2) < 6 x -13

Answer 7

from the calculation we already know 9 x + 2 = 6 x - 13 when x = -5

Answer 8

example when x = 2 6*2-13 = -1 the y value at x = 2 on the line 9 x + 2 = 9*2 + 2 = 20
so 9 x + 2 is not less than 6 x - 13
when x = -8 6*-8 -13 = -48-13 = -61 the y value at x = -8 on the line 9 x + 2 = 9*-8 + 2 = -72 +2 = -70 and -70 < -61 so x = -8 is a solution

do you understand the lines any better now?

Answer 9

this is a rough sketch
for any value of x>-5 the y value on the graph 9 x+ 2 is more than 6 x -13