Quadratic Equation and Inequality Question

Question

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367

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+82

Algebraically solve the following inequality and write the solution sets:

-3x²+24x-3 ≤ -3

You can use any method ( Case analysis, test intervals or sign chart )

JuliaJ5 Jan 25, 2022

BuilderBoi · Answer 1 · 2022-01-25T08:39:39

Subtract $3$ from both sides:

$-3x^2+24x \leq 0$

Factor the equation by $3x$ :

$3x(-x+8) \leq 0$

Both $3x$ and $-x+8$ have to be less than or equal to $0$ . This means your answer is $\color{red}x \leq 0$ or $\color {red}x \geq 8$

JuliaJ5 · Answer 2 · 2022-01-25T09:54:01

Thank you so much! <3