Question

Movement of the progress bar may be uneve Which one of the following 3x+1<5x+7 and

Answer 1

Hello!

Answer:

`\Large \boxed{\sf x > -3}`

Explanation:

We want to solve this inequation:

`\sf 3x+1 < 5x+7`

◼ Subtract 3x from both sides:

`\sf 3x+1-3x < 5x+7-3x`

◼ Simplify both sides:

`\sf 1 < 2x+7`

◼ Subtract 7 from both sides:

`\sf 1-7 < 2x+7-7`

◼ Simplify both sides:

`\sf -6 < 2x`

◼ Divide both sides by 2:

`\sf (-6)/(2) < (2x)/(2)`

◼ Simplify both sides:

`\sf -3 < x`

Turn the signe:

`\boxed{\sf x > -3}`

Conclusion:

The solution of the inequation 3x+1<5x+7 is all values greater than -3.