Solving inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (such as <, >, ≤, ≥) to show that one expression is not 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 does the symbol '≤' mean?

Back

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

Front

How do you solve the inequality 10 ≥ x - 3?

Back

To solve 10 ≥ x - 3, add 3 to both sides: 10 + 3 ≥ x, which simplifies to 13 ≥ x or x ≤ 13.

Front

What is the solution to the inequality g ≥ 90?

Back

The solution g ≥ 90 means that the grade (g) must be 90 or higher to meet the requirement.

Front

What does the inequality x < -4 represent on a number line?

Back

The inequality x < -4 represents all numbers to the left of -4 on the number line, not including -4 itself.

Front

Is h ≥ 27 an expression, equation, or inequality?

Back

h ≥ 27 is an inequality.

Front

Translate the statement: '5 times a number is at least 60.'

Back

The translation is 5x ≥ 60.

Front

What is the first step in solving the inequality 3x + 5 < 20?

Back

The first step is to subtract 5 from both sides: 3x < 15.

Front

How do you graph the inequality x > 2 on a number line?

Back

To graph x > 2, draw an open circle at 2 and shade to the right, indicating all numbers greater than 2.