2.5 Compound Inequalities Worksheet Answers
What is a Compound Inequality?
A compound inequality is a statement containing two inequality expressions that are joined by either the words ‘and’ or ‘or’. The answer to a compound inequality will be a range of values.
Solving Compound Inequalities
In order to solve a compound inequality, you will need to first separate the two terms and solve each inequality separately. This can be done by either subtracting the same number from both sides or by multiplying or dividing both sides by the same number. Once the two inequalities have been solved, you can combine the two solutions and determine the range of values.
Example of Compound Inequality
Let's look at an example of a compound inequality. Consider the following compound inequality: 3x - 5 < 7 and 5x + 3 > 13. To solve this inequality, we need to separate the two terms and solve each inequality separately. First, we will subtract 5 from both sides of the first inequality, thus giving us 3x < 12. Next, we will subtract 3 from both sides of the second inequality, thus giving us 5x > 10. Now, we can combine the two solutions and determine the range of values: 3x < 12 and 5x > 10, which can be written as 10 < x < 12.
2.5 Compound Inequalities Worksheet Answers
Now let's look at the answers to the 2.5 Compound Inequalities Worksheet. The answers to the worksheet are as follows:
- 3x - 5 < 7 and 5x + 3 > 13 10 < x < 12
- -7x + 5 > 1 and 2x - 5 > 3 x > 8
- 7x + 5 < 3 and 2x - 5 < 1 x < -6
- -4x + 5 < 7 and 5x - 3 > 9 x > 4
- 4x + 5 > 7 and 5x - 3 < 9 -2 < x < 4
Conclusion
In conclusion, compound inequalities are statements containing two inequality expressions that are joined by either the words ‘and’ or ‘or’. In order to solve a compound inequality, you will need to first separate the two terms and solve each inequality separately. The answers to the 2.5 Compound Inequalities Worksheet are provided above.
No comments:
Post a Comment