Solving inequalities Flashcard

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, or not equal to the other.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

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

Front

How do you solve the inequality -4x - 7 ≥ 21?

Back

Add 7 to both sides: -4x ≥ 28. Then divide by -4 (remember to flip the inequality): x ≤ -7.

Front

What is the solution to the inequality 2x + 3 ≤ 15?

Back

Subtract 3 from both sides: 2x ≤ 12. Then divide by 2: x ≤ 6.

Front

If Anita needs at least a 90 on her test, how is this expressed as an inequality?

Back

g ≥ 90, where g is the grade on the test.

Front

How do you solve the inequality -5x ≥ 30?

Back

Divide by -5 (flip the inequality): x ≤ -6.

Front

What is the solution to the inequality 2x + 6 > 12?

Back

Subtract 6 from both sides: 2x > 6. Then divide by 2: x > 3.

Front

What does it mean if x > 3 in a real-world context?

Back

It means that the value of x must be greater than 3, which could represent a minimum requirement.

Front

What is the first step in solving an inequality?

Back

Identify the inequality symbol and isolate the variable on one side of the inequality.