Question

Solve the inequality for x 24x > 18(4x – 6) – 30

Answer 1

This app is called photo math u can use it on equations and it gives u the steps/work for the problem

Answer 2

The required solution is:
`x<(23)/(8)` or x<2.875 or
`\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:(23)/(8)\right)\end{bmatrix}`

Explanation:

Consider the provided inequity.

`24x>18(4x-6)-30`

We need to solve the above inequity of x.

Open the parentheses.

`24x>18* 4x-18* 6-30`

`24x>72x-108-30`

`24x>72x-138`

Subtract 72x from both sides.

`24x-72x>72x-138-72x\\-48x>-138`

Multiply both sides by -1 and reverse the inequality.

`\left(-48x\right)\left(-1\right)<\left(-138\right)\left(-1\right)`

`48x<138`

Divide both side by 48.

`x<(23)/(8)`

Hence, the required solution is:
`x<(23)/(8)` or x<2.875 or
`\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:(23)/(8)\right)\end{bmatrix}`