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 (x + 1)(x - 4) > 0 (x+1)(x−4)>0\newlineWrite a compound inequality like 1<x<31 < x < 31<x<3 or like x<1x < 1x<1 or x>3x > 3x>3.______

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