Question

x+2÷3=5x-3÷6
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Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

What is the solution set of 2(x+3) <5x-6?

First, remember that in order to solve this inequality we need to isolate x on one side of the equation. Then, when we prove it, we solve and prove it the same way we do an equation: after we find the value of x we prove it by substituting for x. Both sides of the inequality will be equal to each other.

2(x+3) < 5x-6

Distribute the 2:

2x+6 < 5x-6

Subtract 2x from both sides:

6 < 3x-6

Add 6 to both sides:

12 < 3x

Divide by 3:

4 < x

Now substitute for x in the original inequality:

2(x+3) < 5x-6

x > 4

2(4+3) < 5*4–6

2(7) < 20–6

14 < 14

So x > 4.