5.5 Compound Inequalities.notebook
Bellwork
Solve and Graph the inequality: ­3x + 7 ≤ ­14
October 30, 2015
5.5 Compound
Inequalities
TSW: 1. Determine the number of solutions
based on whether the compound
inequality is a conjunction or
disjunction.
2. Solve the inequality and graph the
solution.
3. Solve a compound inequality in
context.
Nov 5­8:16 PM
Compound Inequalities
• Compound inequalities are inequalities that have been joined by the words "and" or "or".
• Conjunctions are compound inequalities that involve the word "and"
Oct 28­9:10 AM
Conjunctions
• Conjunctions are compound inequalities in which the solution must satisfy both parts of the inequality. The solution is ____ and ____
• Ex: x is greater than ­2 and less than or equal to 5. This can be expressed as ­2 < x ≤ 5
• while disjunctions are compound inequalities that involve the word "or"
­4 ­3 ­2 ­1 0 1 2 3 4 5
Nov 3­5:52 PM
Disjunctions
• Disjunctions are compound inequalities in which the solution only has to satisfy one part of the inequality. Nov 3­5:52 PM
Given the following compound inequality, solve for x.
­11 < 2x+5 ≤ ­ 3 • Ex: x is greater than or equal to 3 or less than ­4. This can be expressed as x ≥ 3 or x < ­4
­4 ­3 ­2 ­1 0 1 2 3 4 5
Nov 3­5:52 PM
Nov 3­7:22 PM
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5.5 Compound Inequalities.notebook
What values satisfy the solution to this compound inequality?
October 30, 2015
Given the following compound inequality, solve for x:
­32 > ­5x + 3 or
x ­ 4 ≤ 2 What type of compound inequality is this?
How can you support your previous answer?
Nov 3­7:33 PM
Nov 3­7:22 PM
What values satisfy the solution to this compound inequality?
What type of compound inequality is this?
5.5 Worksheet
How can you support your previous answer?
Nov 3­7:33 PM
Nov 3­7:57 PM
2