Question

−2x+30>4x+12-2x+30>4x+12
Express the set using interval notation.

Answer 1

[-∞, 3)

Explanation:

We are given the following inequality which we are to express as a set using the interval notation:

`- 2 x + 3 0 > 4 x + 1 2`

Rearranging the inequality by adding the like terms together to get:

`- 2 x - 4 x < 1 2 - 3 0`

`- 6 x < - 1 8`

`x<(-18)/(-6)`

`x<3`

Since the values of
`x` are lesser than
`3` so we can express this in interval notation as:

[-∞, 3)