Question

How do you solve the inequality `7x - 5x + 3 > 9`?

Answer 1

`x > 4 1/2`

Explanation:

Given `7x - 5x + 3 > 9`

Simplifying the left side:
`color(white)("XXX")2x+3 > 9`

Subtract `3` from both sides
`color(white)("XXX")2x > 9`

Divide both sides by `2`
`color(white)("XXX")x > 9/2 (=4 1/2)`

Remember that the following operations do not effect the validity or orientation of an inequality:

• adding or subtracting the same amount to both sides
• multiplying or dividing both sides by the same amount provided that amount is greater than 0