Solve the Rational Inequality with a Sign Chart #shorts

How to solve a rational inequality using a sign chart in a short! OMG, that goes fast. Solving inequalities with a sign chart requires us to first find the roots and restrictions. Use these values as critical numbers on the sign chart and test values within the partitions. Use the sign chart to solve for x and then convert to interval notation.

How to solve and graph solutions to a rational inequality. EASY. First factor the numerator and denominator and find the zeros. Then use those values to make a sign chart and use the sign chart to answer the question.

Method: Solve using sign charts.

Step 1: Place the inequality in standard form with zero on one side.
Step 2: Find the critical numbers (for quadratics - the x-intercepts.)
Step 3: Create a sign chart by determining the sign in each interval bounded by the critical numbers.
Step 4: Use the sign chart to answer the question.

Rational inequalities are solved using the same technique. The only difference is in the critical numbers. It turns out that the y-values may change from positive to negative at a restriction. So we will include the zeros of the denominator in our list of critical numbers

IA Chapter - Solving Inequalities
1 Absolute Value Equations
2 Absolute Value Inequalities
3 Quadratic Inequalities
4 Polynomial and Rational Inequalities

#ProfRedden #algebra #inequalities

[chrissystewart]

I never learn this when I was in school by me being bullied in school my peers think they know it all . I'm working on getting my GED as an adult I want to Learn this Algebra is my favorite favorite