Solving Linear Inequalities Practice 1-16

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (e.g., <, >, ≤, ≥).

Front

How do you solve a linear inequality?

Back

To solve a linear inequality, isolate the variable on one side of the inequality by performing inverse operations, similar to solving an equation.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to', indicating that the value on the left can be less than or equal to the value on the right.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to', indicating that the value on the left can be greater than or equal to the value on the right.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that satisfy the inequality.

Front

How do you graph a linear inequality on a number line?

Back

To graph a linear inequality, use an open circle for < or > and a closed circle for ≤ or ≥, then shade the region that represents the solution set.

Front

What is the difference between an open interval and a closed interval?

Back

An open interval does not include its endpoints (e.g., (a, b)), while a closed interval includes its endpoints (e.g., [a, b]).

Front

Solve the inequality: 2x + 3 < 11

Back

x < 4.

Front

Solve the inequality: -3x + 5 ≥ 2

Back

x ≤ 1.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality sign.