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

asked Sep 10, 2022 221k views

3 votes

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5 votes

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

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

MdaG answered Sep 13, 2022

by MdaG

5.1k points

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