Question

Help with Math PLZ (Questions in screenshot)

Answer 1

1.) Let's say that the circle on the graph below represents x. The arrow is pointing to all the numbers greater than x, which happens to be on -2. If it points right, this means that x can equal to any number greater than -2. So your answer is x > -2.

2.) For inequalities such as these, you can simplify just like what you do for normal equations. Let's isolate x.

`x - 7 > 10`

-->
`x > 10 + 7`

--->
`x > 17`

3.)
`3x \leq 21`

-->
`(3x)/(3) \leq  (21)/(3)`

--->
`x \leq 7`

4.)
`5a - 2 < 18`

-->
`5a < 18 + 2`

--->
`5a < 20`

---->
`(5a)/(5) < (20)/(5)`

----->
`a < 4`

5.)
`2t + 8 \geq -4(t + 1)`

-->
`2t + 8 \geq -4t - 4`

--->
`2t + 4t \geq -8 - 4`

---->
`6t \geq -12`

----->
`t \geq -2`