Question

3x-1/4<8

Solve and graph

Answer 1

`\large\boxed{x<(11)/(4)\to x\in\left(-\infty,\ (11)/(4)\right)}`

Explanation:

`3x-(1)/(4)<8\qquad\text{multiply both sides by 4}\\\\12x-1<32\qquad\text{add 1 to both sides}\\\\12x<33\qquad\text{divide both sides by 12}\\\\x<(33)/(12)\\\\x<(33:3)/(12:3)\\\\x<(11)/(4)`

<, > - open circle

≤, ≥ - closed circle

<, ≤ - draw the line to the left

>, ≥ - draw the line to the right