Solve and graph the solution set. 7x + 2 >= 6x + 18?

Question

Solve and graph the solution set. 7x + 2 >= 6x + 18

Answer 1

7x + 2 >= 6x + 18

Solve for X

Subract 6x from both sides and -2 from both sides

x >= 16 (This means x must equal 16 or greater)


On a number line.... at 16, use a filled circle (or however, you do it nowadays and darken the line to the right of 16 since it's 16 or greater.
----------x=====>
1.... .. 16

Back in my day...
a filled in circle means includes that number
an open cirle means start at that number, but exclude that number.

Answer 2

Solve for x:

7x + 2 >= 6x + 18 (Subtract 6x from both sides)
x + 2 > = 18 (Subtract 2 from both sides)
x >= 16 (This is your solution)

To graph this, draw a number line with a solid dot on the number 16 and a solid line going towards all the numbers greater than 16 (like 17, 18, etc...). If it was x > 16, the number 16 would have an open dot or a circle.

Answer 3

Solve for x:
x ≥ 16.
Graph, shade a number line to the right of & including 16, [16, ∞).