Solve for x. (x + 1)(x - 4) > 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, 4), (4, ∞).Test Interval (-∞, -1): Test the interval (-∞, -1) by picking a number like x = -2. (-2 + 1)(-2 - 4) > 0? (-1)(-6) > 0? Yes, it's positive.Test Interval (-1, 4): Test the interval (-1, 4) by picking a number like x = 0. (0 + 1)(0 - 4) > 0? (1)(-4) > 0? No, it's negative.Test Interval (4, ∞): Test the interval (4, ∞) by picking a number like x = 5. (5 + 1)(5 - 4) > 0? (6)(1) > 0? Yes, it's positive.Write Compound Inequality: Write the solution as a compound inequality. The inequality is true for x in (-∞, -1) and (4, ∞). Compound inequality: x 4.

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Solve for $x$ . $\newline$ (x + 1)(x - 4) > 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 - 4) > 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: $(-\infty, -1)$ , $(-1, 4)$ , $(4, \infty)$ .
Test Interval $(-\infty, -1)$ : Test the interval $(-\infty, -1)$ by picking a number like $x = -2$ . $\newline$ (-2 + 1)(-2 - 4) > 0? $\newline$ (-1)(-6) > 0? Yes, it's positive.
Test Interval $(-1, 4)$ : Test the interval $(-1, 4)$ by picking a number like $x = 0$ .(0 + 1)(0 - 4) > 0?(1)(-4) > 0? No, it's negative.
Test Interval $4, \infty):</b> Test the interval \$4, \infty) by picking a number like \$x = 5$ .(5 + 1)(5 - 4) > 0?(6)(1) > 0? Yes, it's positive.
Write Compound Inequality: Write the solution as a compound inequality. $\newline$ The inequality is true for $x$ in $(-\infty, -1)$ and $(4, \infty)$ . $\newline$ Compound inequality: x < -1 or x > 4.

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Solve for xxx.\newline (x + 1)(x - 4) > 0 \newlineWrite a compound inequality like 1 < x < 3 or like x < 1 or x > 3.______

Solve for $x$ . $\newline$ (x + 1)(x - 4) > 0 $\newline$ Write a compound inequality like 1 < x < 3 or like x < 1 or x > 3.______