1. Inequality symbols: Inequality symbols are symbols used to compare two quantities. The symbols include > (greater than), < (less than), ≥ (greater than or equal to), ≤ (less than or equal to), and ≠ (not equal to).
Illustration:
Example: 4 > 2 means that 4 is greater than 2.
2. Closed or open circle in solution set: In graphing the solution set of an inequality on a number line, a closed circle is used to represent values that are included in the solution, while an open circle is used to represent values that are not included in the solution.
Illustration:
Example: For the inequality x > 3, an open circle is placed at 3, indicating that 3 is not included in the solution set.
3. Inequality solving exception: An inequality solving exception occurs when the direction of the inequality is reversed when multiplying or dividing both sides of the inequality by a negative number.
Illustration:
Example: When solving the inequality -2x > 8, dividing both sides by -2 would result in a reversal of the inequality symbol, giving x < -4 as the solution.
8th grade Math Lesson 2-8 Practice
Vocabulary Terms: Define/Illustrate
1. Inequality symbols
2. Closed or open circle in solution set
3. Inequality solving exception
Problems: Show All Work: Solve and graph the solution on a number line.
1.ax - 4 < 12
2.-4(4 + 7x) ≥ -7x + 5
3.2(2x - 8) - 8x ≤ 0
4.5x + (x - 8) > 9/2 (2x - 4)
5.Tom is deciding whether or not he should become a member of the gym to use their basketball courts. The membership cost is $125. Members pay $3 to rent out the basketball courts. How many times can Tom play basketball if he wants to spend no more than $200?
1 answer
1 answer