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tatiyna
3 years ago
7

Solve the inequality. 7x − 9 > 2x + 6

Mathematics
2 answers:
Flura [38]3 years ago
7 0
<h3><u>The value of x is greater than the value of 3.</u></h3>

We can treat inequalities like standard algebraic equations.

7x - 9 > 2x + 6

<em><u>Add 9 to both sides.</u></em>

7x > 2x + 15

<em><u>Subtract 2x from both sides.</u></em>

5x > 15

<em><u>Divide both sides by 5.</u></em>

x > 3

vladimir2022 [97]3 years ago
3 0

Answer:

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

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