Question

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

Answer 1

Answer:

[-∞, 3)

Step-by-step 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:

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

$- 6 x < - 1 8$

$x<\frac{-18}{-6}$

$x<3$

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

[-∞, 3)