Graph and Solve One Step Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as >, <, ≥, or ≤.

Front

How do you solve the inequality p - 3 > -8?

Back

Add 3 to both sides: p > -5.

Front

What does the solution x + 5 ≤ 13 represent?

Back

It represents all values of x that are less than or equal to 8.

Front

How do you graph the inequality n + 21 < 0?

Back

Solve for n: n < -21. Graph with an open circle at -21 and shade to the left.

Front

What is the solution to the inequality 7n > 49?

Back

Divide both sides by 7: n > 7.

Front

What does the inequality r - 14 ≥ 17 mean?

Back

It means r is greater than or equal to 31.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the boundary, while non-strict inequalities (≤, ≥) do include the boundary.

Front

How do you represent the solution of an inequality on a number line?

Back

Use open circles for < or > and closed circles for ≤ or ≥, then shade the appropriate direction.

Front

What is the first step in solving the inequality x - 4 < 10?

Back

Add 4 to both sides: x < 14.

Front

What does the inequality 2x + 3 > 11 represent?

Back

It represents all values of x that are greater than 4.