Solving One Variable Inequalities and Equations

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

Front

What is the first step in solving the equation 2x + 10 = 22?

Back

Subtract 10 from each side to isolate the term with x.

Front

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

Back

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

Front

Solve the inequality: x + 5 < 12. What is x?

Back

x < 7.

Front

What is the solution to the inequality x - 4 ≥ 2?

Back

x ≥ 6.

Front

If x < 3, what can you say about x + 2?

Back

x + 2 < 5.

Front

What does the solution x ≤ 19 represent?

Back

It represents all values of x that are less than or equal to 19.

Front

How do you check if x = 4 is a solution for the inequality x - 3 ≥ 1?

Back

Substitute 4 into the inequality: 4 - 3 ≥ 1, which simplifies to 1 ≥ 1, confirming that x = 4 is a solution.

Front

What is the solution to the inequality 3x > 9?

Back

x > 3.