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1 vote
2x + 5 < 3x - 10

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2 Answers

6 votes

Answer:

so,

x > 15

Explanation:

2x + 5 < 3x -10

2x + 5 + 10 < 3x - 10 + 10 (adding 10 to both sides)

or, 2x + 15 < 3x

or, 2x - 2x + 15 < 3x - 2x(subtracting two from both sides)

or, 15 < x

User Gyom
by
7.9k points
3 votes

Inequalities with variables on both sides

Let's solve this in steps!

1. Rewrite

2x + 5 < 3x - 10

2. Eliminate 5 to isolate the variable

2x + 5 - 5 < 3x - 10 - 5

2x < 3x - 15

3. Subtract 3x from both sides

2x - 3x < 3x - 3x - 15

-x < -15

4. Divide both sides by -1

-x ÷ -1 = 1

-15 ÷ -1 = 15

5. Simplify & switch signs

⇒ x > 15

Answer Recap: 2x + 5 < 3x - 10x > 15

User Yomaris
by
8.2k points

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