Question

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

Answer 1

`\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`

Answer 2

x > -10

===============

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

• 3x > -10x - 130

Next, we can add 10x to both sides:

• 13x > -130

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

• x > -10

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