Question

Solve the inequality 4t^2 ≤ 9t-2 please show steps and interval notation. thank you!​

Answer 1

Answer:
`t\in [(1)/(4),2]`

Explanation:

Given

Inequality is
`4t^2\leq9t-2`

Taking variables one side

`\Rightarrow 4t^2-9t+2\leq0\\\Rightarrow 4t^2-8t-t+2\leq0\\\Rightarrow 4t(t-2)-1(t-2)\leq0\\\Rightarrow (4t-1)(t-2)\leq0`

Using wavy curve method

`t\in [(1)/(4),2]`