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What is the answer to 2x-3+4x<3(x+3)

User Suzon
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1 Answer

4 votes

Answer:

x < 4

Explanation:

To solve the inequality 2x - 3 + 4x < 3(x + 3), you need to isolate the variable x. Here are the steps:

Distribute the 3 on the right side of the inequality:

2x - 3 + 4x < 3x + 9

Combine like terms on both sides of the inequality:

(2x + 4x) - 3 < 3x + 9

6x - 3 < 3x + 9

To isolate x on one side, you can subtract 3x from both sides of the inequality:

6x - 3 - 3x < 3x - 3x + 9

3x - 3 < 9

Next, add 3 to both sides of the inequality:

3x - 3 + 3 < 9 + 3

3x < 12

Finally, divide both sides by 3 to solve for x:

(3x)/3 < 12/3

x < 4

So, the solution to the inequality is:

x < 4

User DubVader
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