Question

Simplify the inequality. Graph it, write it in interval notation, and then inequality notation. Write your answer in interval notation.3x+2<−4 or 3x+3>27Clear All Draw: Line segments interval inequality

Answer 1

given the inequality

`3x+2<−4\text{ }or\text{ }3x+3>27`

then

`3x<−4-2\text{ }or\text{ }3x>27-3`
`3x<−6\text{ }or\text{ }3x>24`
`x<−2\text{ }or\text{ }x>8`

Graph:

notice the empty circle because the ineqaulity does not have equal symbol

interval:

`\left(-\infty \:,\:-2\right)\cup \left(8,\:\infty \:\right)`

inequality:

`x<-2\text{ }or\text{ }x>8`