Algebra 1 Compound Inequalities Worksheet Answers
What are Compound Inequalities?
Compound inequalities are two inequalities that are connected by the word “and” or “or.” For example, when the inequality is “x > 5 and x < 10,” that means that the value of x should be greater than 5 and less than 10. If the inequality is “x > 5 or x < 10,” then the value of x can be either greater than 5 or less than 10.
Examples of Compound Inequalities
Here are some examples of compound inequalities:
- -5 ≤ x < 5
- 2 > y ≥ -2
- -3 < x ≤ 7
- -6 ≥ x > -9
- -1 ≤ y ≥ 4
Algebra 1 Compound Inequalities Worksheet Answers
If you are looking for the answers to an Algebra 1 Compound Inequalities Worksheet, here are some examples of correct answers:
- For “x > 5 and x < 10,” the answer is all real numbers greater than 5 and less than 10.
- For “x > 5 or x < 10,” the answer is all real numbers greater than 5 or less than 10.
- For “-5 ≤ x < 5,” the answer is all real numbers greater than or equal to -5 and less than 5.
- For “2 > y ≥ -2,” the answer is all real numbers greater than 2 and greater than or equal to -2.
- For “-3 < x ≤ 7,” the answer is all real numbers greater than -3 and less than or equal to 7.
- For “-6 ≥ x > -9,” the answer is all real numbers greater than or equal to -6 and less than -9.
- For “-1 ≤ y ≥ 4,” the answer is all real numbers greater than or equal to -1 and greater than or equal to 4.
Tips for Solving Compound Inequalities
Here are some tips for solving compound inequalities:
- Start by writing the equation in its standard form, as this makes it easier to work with.
- If the inequality is connected with an “and” or “or,” then you need to solve each part separately.
- If the inequality is connected with an “and,” then the answer should be the overlapping range of the two inequalities.
- If the inequality is connected with an “or,” then the answer should be the union of the two inequalities.
- Remember to always check your answer by plugging it back into the original equation.
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