Q10. - Algebra 1

Question

State whether each sentence is true or false. If false, replace the underlined term to make a true sentence.

 

A set of two or more inequalities with the same variables is called a system of equations.

Step-by-Step Solution

Answer

The given statement is false. The corrected statement is: 

“A set of two or more inequalities with the same variables is called a system of inequalities.”

Step 1. State the concept of system of equations.

A system of linear equations is the system in which two or more equations are there with same variable.

Step 2. Explanation of the statement.

A system of linear inequalities is the system in which two or more inequalities with same variable. So, the given statement tells that it is the system of equations.

Step 3. Write the correct statement.

Hence, the given statement is false. The corrected statement is: 

“A set of two or more inequalities with the same variables is called a system of inequalities.”