Question

Graph the inequality on the numberline and then write it in interval notation.
6x+5(x+5)≥7x+45

and

12x+4(x-3)<3x+53

Please help me with these equation and how to write the solution on a numberline. Thanks.

Answer 1

6x+5(x+5)≥7x+45

11 x + 25 ≥ 7 x + 45

4 x ≥ 20

x ≥ 5
black dot at x = 5, arrow to right

Answer 2

12 x + 4 x -12 < 3 x + 53

13 x < 65

x < 65/3

open circle at x = 65/3 and arrow to left

Answer 3

What would the interval notation be for
6x+5(x+5)≥7x+45
x ≥ 5

Answer 4

Thank You Damon for the assistance with interval notation and graphing. I am horrible at this section.