What is the solution to the problem 3/5x > -2x - 26

Question

asked Oct 2, 2024 63.2k views

2 Answers

Stylesuxx · Answer 1 · 2024-10-05T12:22:52+0000

Answer:

$\sf x > -10$

Explanation:

To solve the inequality
$\sf (3)/(5)x > -2x - 26$ ,we can follow these steps:

First, let's get rid of the fractions by multiplying both sides of the inequality by 5 to clear the denominator:

$\sf 5 \cdot (3)/(5)x > 5(-2x - 26)$

This simplifies to:

$\sf 3x > -10x - 130$

Now, let's gather like terms on each side of the inequality.

Add 10x to both sides to move all the x-terms to the left side:

3x + 10x > -10x + 10x - 130

This simplifies to:

$\sf 13x > -130$

Finally, divide both sides by 13 to isolate x:

$\sf (13x)/(13) > (-130)/(13)$

This simplifies to:

$\sf x > -10$

So, the solution to the inequality is:

$\sf x > -10$

Hutchonoid · Answer 2 · 2024-10-08T01:26:30+0000

x > -10

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Simplify the expression, first, we can multiply both sides of the inequality by 5 to get rid of the fraction:

Next, we can add 10x to both sides:

Finally, we divide both sides by 13 to solve for x:

So, the solution to the inequality is x > -10.