Question

State all values of x in the interval [4,10] that satisfy the following inequality

3x-3>12

Answer 1

x = 6, 7, 8, 9 and 10

Explanation:

Let's use algebra to solve the inequality first:

3x - 3 > 12

3x > 12 + 3

3x > 15

x > 15/3

x > 5

THis means x is GREATER THAN 5, but not 5.

So the values in the interval that is satisfied by x are 6, 7, 8, 9 and 10

Note: 10 is included because of the "]" sign which means inclusion

So, x = 6, 7, 8, 9 and 10