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kap26 [50]
2 years ago
7

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

Mathematics
1 answer:
FromTheMoon [43]2 years ago
3 0

Answer: t\in [\dfrac{1}{4},2]

Step-by-step 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 [\dfrac{1}{4},2]

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Explanation:

<u><em>First you subtract by -1 both sides of an equation.</em></u>

<u><em>x+1-1=34-1</em></u>

<u><em>Then, simplify the number.</em></u>

<u><em>34-1=33</em></u>

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3 years ago
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Do PEMDAS

Parentheses
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