Solving Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '≥' mean?

Back

'≥' 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

How do you solve the inequality 6x - 4 ≥ 26?

Back

Add 4 to both sides: 6x ≥ 30. Then divide by 6: x ≥ 5.

Front

What does the solution x ≤ -8 represent?

Back

It means that x can be any number less than or equal to -8.

Front

What is the first step in solving the inequality -3 + x ≤ -11?

Back

Add 3 to both sides to isolate x: x ≤ -8.

Front

How do you interpret the solution x ≤ 13?

Back

It means that x can take any value that is less than or equal to 13.

Front

What is the solution to the inequality 10 ≥ x - 3?

Back

Add 3 to both sides: 13 ≥ x, or x ≤ 13.

Front

What does the inequality 4x - 3 < -1x + 12 represent?

Back

It shows that the expression on the left (4x - 3) is less than the expression on the right (-1x + 12).

Front

How do you solve the inequality 4x - 3 < -1x + 12?

Back

Add 1x to both sides and add 3: 5x < 15. Then divide by 5: x < 3.

Front

What is the meaning of 'x > 3'?

Back

It means that x can be any number greater than 3.