Solving One-Step Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Front

How do you solve the inequality -24 + k ≤ 10?

Back

Add 24 to both sides: k ≤ 34.

Front

What is the solution to the inequality -4 + y < -8?

Back

Add 4 to both sides: y < -4.

Front

How do you solve -8x < 24?

Back

Divide both sides by -8 (remember to flip the inequality): x > -3.

Front

What is the solution to the inequality -5m < 10?

Back

Divide both sides by -5 (remember to flip the inequality): m > -2.

Front

How do you check if a value satisfies an inequality?

Back

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

Front

Does x + 9 > 21 hold true when x = 15?

Back

Yes, because 15 + 9 = 24, which is greater than 21.

Front

What is the first step in solving one-step inequalities?

Back

Identify the operation being performed on the variable and perform the inverse operation.