Question

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

Ox<5
0 6x-5< 10-X
0-6x + 15 < 10-5x
+
-3
-2 -1 0
1
2
3
+
4
5 6 7
-7
-6
-5
-4
-3
-2
+
-1 0
+
3
1
2

Answer 1

Answer: c d

Explanation:

Answer 2

Answer: -6x + 15 < 10-5x and the numberline with the 5---->

Explanation:

Solving -3(2x-5) < 5(2-x)

Distribute the -3 to the 2x giving you -6x and -3 to the -5 giving you 15.

Distribute 5 to 2 giving you 10 and 5 to -x ginving you -5x.

Then just solve -6x+15 < 10-5x

+6x +6x

10+x > 15

-10 -10

x>5

The numberline with the postive 5 is the correct answer.