What is an example of an inequality word problem?
Let’s say b is the number of books Alex sells per day. Since we want the profit to be at least $120.00, we want it to be greater than or equal to than $120. We can rewrite this as an inequality. We solve for b by adding 4 to both sides of the inequality and then dividing by 2.
How do you solve compound inequalities step by step?
To solve a compound inequality, first separate it into two inequalities. Determine whether the answer should be a union of sets (“or”) or an intersection of sets (“and”). Then, solve both inequalities and graph.
What is an example of a compound inequality?
Compound inequalities are the derived form of inequalities, which are very useful in mathematics whenever dealing with a range of possible values. For example, after solving a particular linear inequality, you get two solutions, x > 3 and x < 12. You can read it as “3 is less than x, which is less than 12.
How do you solve an inequality example?
We call that “solved”.
- Example: x + 2 > 12. Subtract 2 from both sides:
- Example: 3x < 7+3. We can simplify 7+3 without affecting the inequality:
- Example: 2y+7 < 12.
- Example: x + 3 < 7.
- Example: 12 < x + 5.
- Example: 3y < 15.
- Why?
- Example: −2y < −8.
What is a compound inequality examples?
What does a compound inequality look like?
A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time. It is the overlap or intersection of the solution sets for the individual statements.
What is a compound inequality and how is it solved?
A compound inequality is made up of two inequalities connected by the word “and” or the word “or.” To solve a compound inequality means to find all values of the variable that make the compound inequality a true statement. We solve compound inequalities using the same techniques we used to solve linear inequalities.
How do you solve a word problem involving linear equations?
Steps involved in solving a linear equation word problem: Denote the unknown by the variables as x, y, ……. Translate the problem to the language of mathematics or mathematical statements. Form the linear equation in one variable using the conditions given in the problems. Solve the equation for the unknown.
What are some real life examples of compound inequalities?
An example of a compound inequality involving the word “or” can be thought of a car burning fuel. A car burns more gasoline when it’s going either really slow or really fast.
What are the steps in solving word problem involving equations and inequalities in one variable?
Word Problem Solving Strategies
- Read through the entire problem.
- Highlight the important information and key words that you need to solve the problem.
- Identify your variables.
- Write the equation or inequality.
- Solve.
- Write your answer in a complete sentence.
- Check or justify your answer.
What are the step in solving word problem?
5 Steps to Word Problem Solving
- Identify the Problem. Begin by determining the scenario the problem wants you to solve.
- Gather Information.
- Create an Equation.
- Solve the Problem.
- Verify the Answer.
How do you make an inequality from a word problem?
Read the problem and highlight important information.
What are the solutions of the compound inequality?
– Solve compound inequalities in the form of or and express the solution graphically. – Solve compound inequalities in the form of and and express the solution graphically. – Solve compound inequalities in the form a < x < b. – Identify cases with no solution.
How to solve compound inequalities?
– Every parent wants their children to grow up and do amazing things with their lives. – While there are several factors that affect a child’s development, some of it comes down to parenting. – These factors and techniques are a great starting point for every parent.
How do you solve an and compound inequality?
Add the same number to both sides.