Solve for x. x(x - 3) ≥ 0 Write a compound inequality like 1 3. ______

Divide Intervals: Divide the number line into intervals using the zeros: (-∞, 0), (0, 3), (3, ∞).Test Interval (-∞, 0): Test the interval (-∞, 0) by choosing a number less than 0, say x = -1. (-1)(-1 - 3) = (-1)(-4) = 4, which is ≥ 0.Test Interval (0, 3): Test the interval (0, 3) by choosing a number between 0 and 3, say x = 1. (1)(1 - 3) = (1)(-2) = -2, which is not ≥ 0.Test Interval (3, ∞): Test the interval (3, ∞) by choosing a number greater than 3, say x = 4. (4)(4 - 3) = (4)(1) = 4, which is ≥ 0.Combine Intervals: Combine the intervals where the function is ≥ 0. x is in (-∞, 0] or [3, ∞).

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Solve for $x$ . $\newline$ $x(x - 3) \geq 0$ $\newline$ Write a compound inequality like 1 < x < 3 or like x < 1 or x > 3.______

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Algebra 2

Solve quadratic inequalities

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Q. Solve for

x

\newline

x(x - 3) \geq 0

\newline

Write a compound inequality like

1 < x < 3

or like

x < 1

x > 3

.______

Divide Intervals: Divide the number line into intervals using the zeros: $(-\infty, 0)$ , $(0, 3)$ , $(3, \infty)$ .
Test Interval $(-\infty, 0)$ : Test the interval $(-\infty, 0)$ by choosing a number less than $0$ , say $x = -1$ .$\newline$ $(-1)(-1 - 3) = (-1)(-4) = 4$ , which is $\geq 0$ .
Test Interval $0, 3$ : Test the interval $0, 3$ by choosing a number between $0$ and $3$ , say $x = 1$ . $(1)(1 - 3) = (1)(-2) = -2$ , which is not $extbackslash geq 0$ .
Test Interval $3, \infty):</b> Test the interval \$3, \infty) by choosing a number greater than \$3$ , say $x = 4$ . $(4)(4 - 3) = (4)(1) = 4$ , which is $\geq 0$ .
Combine Intervals: Combine the intervals where the function is $\geq 0$ . $x$ is in $(-\infty, 0]$ or $[3, \infty)$ .

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Solve for xxx.\newlinex(x−3)≥0x(x - 3) \geq 0x(x−3)≥0\newlineWrite a compound inequality like 1 < x < 3 or like x < 1 or x > 3.______

Solve for $x$ . $\newline$ $x(x - 3) \geq 0$ $\newline$ Write a compound inequality like 1 < x < 3 or like x < 1 or x > 3.______