Question

Graph the solution of 7x+3<−4 or 2x−3≥9

Answer 1

`x<-1` and
`x\geq6`

Explanation:

`\bf 7x+3<-4`

You must subtract 3 from both sides.

`7x+3-3<-4-3\\`

After subtracting, we got

`7x<-7`

Let's make it into a fraction and divide

`(7x)/(7)<(-7)/(7)`

Now we got the answer

`x<-1`

`\bf 2x-3\geq 9`

You must add 3 to both sides.

`2x-3+3\geq 9+3`

After adding, we got

`2x\geq 12`

Let's make it into a fraction and divide

`(2x)/(2) \geq (12)/(2)`

Now we got the answer

`x\geq 6`

Your answer is
`\bf x<-1` or
`\bf x\geq 6`.

Answer 2

Explanation:

To do this you would simplify both sides.

For the first one:

`7x+3<-4`

`7x<-7` (subtract 3 from both sides)

`x<-1` (divide 7 from both sides)

and for the second one:

`2x-3\geq 9`

`2x\geq 12` (add 3 to both sides)

`x\geq 6` (divide 2 from both sides)

When you graph these they will look like these pictures