# Compound inequality examples

Definition • The inequalities you have seen so far are simple inequalities. When two simple inequalities are combined into one statement by the words AND or OR, the result is called a compound inequality. • Compound Inequality - the result of combining two inequalities.

Example Question #1 : Linear Inequalities. Write a compound inequality that describes the given graph: Possible Answers: Correct answer: Explanation: The graph shows an arrow beginning on 5 with an open circle and pointing to the left, thus that portion of the graph says, all real numbers less than 5. There is a second arrow beginning on 9 with ...
Compound Inequalities (and vs. or) and examples by Jamie Kreitinger - January 7, 2013
Compound Inequalities 3-4 Solving Two-Step and Multi-Step Inequalities 3-5 Solving Inequalities with Variables on Both Sides Lab Truth Tables and Compound ... inequality true. EXAMPLE 1 Identifying Solutions of Inequalities Describe the solutions of 3 + x < 9 in words. Test values of x that are positive, negative, and 0.
Solving Inequalities with Modulus - Examples. Example 1 : Solve the absolute value inequality given below |x - 9| < 2. and express the solution in interval notation. Solution :-2 < x - 9 < 2. Add 9 throughout the equation-2 + 9 < x - 9 + 9 < 2 + 9. 7 < x < 11. Hence the solution set of the above absolute inequality is (7, 11). Example 2 :
Answer: A compound inequality in Python is often simple since boolean operators generally have lower precedence than others: >>> x = 2 >>> x < 5 and x>= -1 True so ...
Solution for EXAMPLE 3 Solving a Compound Inequality "Or" 1 t > 6 2 Solve. x - 2 < 5 or. Q: The formulas for the least squares line were found by solving the system of equations nb + ( Σx)m Σy...
Example #5: Graph the solution of each inequality.. x < 4 y. ≥ -7 . Compound Inequalities . compound inequalities: a pair of inequalities joined by "and" or "or". To solve a compound inequality joined with "and", find the values of the variable that satisfy both inequalities. *"and" means the intersection of the solutions Example #6: 2x + 3 > 1 and 5x - 9 < 6
Inequalities can be shown using set notation: {x: inequality}where x: indicates the variable being described and inequality is written as an inequality, normally in its simplest form. The colon means such that.. For example: {x: x > 5}.This is read as x such that x is greater than > 5.. Sometimes the set is written with a bar instead of a colon: {x¦ x > 5}.
Section 6-3: Solving Multi-Step Inequalities Notes Example 1: Solve C + 32 > -31. Example 2: Solve -17b + 19 < -16. Check your solution \ Example 3: Write an inequality for the sentence and then solve the inequality. 3 times a number minus 18 is at least 5 times the number plus 21 Example 4: Solve 6(c + 2) > 4(c - 6). Check your solution.
The solutions for inequalities generally involve the same basic rules as equations. There is one exception, which we will soon discover. The first rule, however, is similar to that used in solving equations. If the same quantity is added to each side of an inequality, the results are unequal in the same order. Example 1 If 5 . 8, then 5 + 2 8 + 2.
Solve the questions based on inequalities and check your exam preparation level. the answer key and explanations for each questions is also given.