Solve for x. (x + 1)(x - 2) ≥ 0 Write a compound inequality like 1 3. ______

Plot Zeros and Test Intervals: Plot the zeros on a number line and test the intervals. Intervals: (-∞, -1), (-1, 2), (2, ∞)Test Interval (-∞, -1): Test the interval (-∞, -1) by picking a number like x = -2. (-2 + 1)(-2 - 2) = (-1)(-4) = 4, which is ≥ 0.Test Interval (-1, 2): Test the interval (-1, 2) by picking a number like x = 0. (0 + 1)(0 - 2) = (1)(-2) = -2, which is not ≥ 0.Test Interval (2, ∞): Test the interval (2, ∞) by picking a number like x = 3. (3 + 1)(3 - 2) = (4)(1) = 4, which is ≥ 0.Combine Intervals: Combine the intervals where the function is ≥ 0. The function is ≥ 0 on (-∞, -1] and [2, ∞).

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Solve for $x$ . $\newline$ $(x + 1)(x - 2) \geq 0$ $\newline$ 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 + 1)(x - 2) \geq 0

\newline

Write a compound inequality like

1 < x < 3

or like

x < 1

x > 3

Plot Zeros and Test Intervals: Plot the zeros on a number line and test the intervals. $\newline$ Intervals: $(-\infty, -1$ ), $(-1, 2$ ), $(2, \infty)$
Test Interval $(-\infty, -1):$ Test the interval $(-\infty, -1)$ by picking a number like $x = -2$ . $(-2 + 1)(-2 - 2) = (-1)(-4) = 4$ , which is $ext{≥} 0$ .
Test Interval $(-1, 2)$ : Test the interval $(-1, 2)$ by picking a number like $x = 0$ . $(0 + 1)(0 - 2) = (1)(-2) = -2$ , which is not $extbackslash geq 0$ .
Test Interval $2, \infty):</b> Test the interval \$2, \infty) by picking a number like \$x = 3$ . $(3 + 1)(3 - 2) = (4)(1) = 4$ , which is $\geq 0$ .
Combine Intervals: Combine the intervals where the function is $\geq 0$ . The function is $\geq 0$ on $(-\infty, -1]$ and $[2, \infty)$ .

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Solve for xxx.\newline(x+1)(x−2)≥0(x + 1)(x - 2) \geq 0(x+1)(x−2)≥0 \newlineWrite a compound inequality like 1 < x < 3 or like x < 1 or x > 3.

Solve for $x$ . $\newline$ $(x + 1)(x - 2) \geq 0$ $\newline$ Write a compound inequality like 1 < x < 3 or like x < 1 or x > 3.