Question

Solve the inequality 4i−4(i+2)≥6(8i−8) and write the solution in interval notation

Answer 1

`(-\infty,(25)/(24)]`

Explanation:

Assuming
`i` is a variable:

`4i-4(i+2)\geq6(8i-8)\\\\4i-4i+2\geq48i-48\\\\2\geq48i-48\\\\50\geq48i\\\\(50)/(48)\geq i\\ \\(25)/(24)\geq i\\ \\i\leq(25)/(24)\\ \\(-\infty,(25)/(24)]`