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
+
+
-3
-2
+
-1
+
0
+
1
+
2
3
4
+ at
–5
-3
+
-2
+
-1
+
0
+
1
+
2
+
3
+
4
+
5
>
4
-3
-2
-1
0
1
2
3
4
5

Answer 1

x>3

Explanation:

We are given with the inequation 3(8-4x) < 6(x - 5)

Dividing both sides in the above in equation by 3 we get

(8-4x)<2(x-5)

Distributing 2 over (x-5)

(8-4x)<2x-10

8-4x<2x-10

adding 10 and 4x on both hand sides we get

8+10<2x+4x

18<6x

Dividing both sides by 6 we get

3<x

Hence the solution to the given in equation is x>3