Solving Linear Inequalities

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 (>, <, ≥, ≤) instead of an equal sign.

Front

What does the solution of a linear inequality represent?

Back

The solution of a linear inequality represents all the values that make the inequality true.

Front

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

Back

To graph a linear inequality on a number line, 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 '>' and '≥'?

Back

'>' means greater than, while '≥' means greater than or equal to.

Front

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

Back

The inequality sign flips when you multiply or divide both sides of the inequality by a negative number.

Front

Solve the inequality: 3x - 5 < 4.

Back

x < 3.

Front

What is the solution set for the inequality: 2x + 3 ≥ 7?

Back

x ≥ 2.

Front

Write an inequality for the statement: 'A number x is at least 10.'

Back

x ≥ 10.

Front

How do you check if a number is a solution to an inequality?

Back

Substitute the number into the inequality and see if the statement is true.

Front

What does the graph of the inequality x < 4 look like?

Back

An open circle at 4 with a line extending to the left.