Solve the inequality. 7x - 9 > 2x + 6

x>3 is the answer

Step-by-step explanation:

We are given one inequality

7x-9>2x+6

To solve this we can do additions and subtraction as we do for equations.

Only for multiplication if negative number is used inequality changes

So let us add 9 to both the sides

7x>2x+6+9

Now subtract 2x from both the sides

7x-2x >15

5x>15

We divide by a positive number 5 without disturbing inequality sign.

X>3 is the answer

In interval notation we can write this as open interval

(3,∞)

In number line this is the region to the right of 3, not includig 3

The value of x is greater than the value of 3.

We can treat inequalities like standard algebraic equations.

7x - 9 > 2x + 6

Add 9 to both sides.

7x > 2x + 15

Subtract 2x from both sides.

5x > 15

Divide both sides by 5.

x > 3