Question

Which are correct representations of the inequality -3(2x - 5) < 5(2-x)? Select two options.

x < 5
-6x-5 < 10- x
0-6x + 15 < 10 -5x
-3
-2 -1
0
2
3
3
4
5
02
7
-7
-6
-5
-4
-3
-2
--1
0
ON
3

Answer 1

• -6x +15 < 10 -5x
• the graph of 5 < x

Explanation:

Expanding the given inequality, you get ...

-6x +15 < 10 -5x

Adding 6x-10, you get

5 < x

which has the graph shown below.