Question

Which number line represents the solution set for the inequality 3(8 – 4x) <6(x-5)?

-5
-3
-2
-1
0
1
2
3
4
5
5
4
3
-2
-1
0
1
2
3
4
5
+
-2
-1
0
1
2
3
4
5
-5 -3
Otto
-5 4 -3
-2
-1
0
1
2
3
4
5

Answer 1

numbers smaller than 3

Explanation:

first expand the brackets so it will be :

24 -12x<6x - 30

then change < to =

24 -12x=6x - 30

24-18x= -30

-18x = -54

-x = -3

x = 3

then change symbols back so:

x < 3