HA: 2.quick one variable 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, 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

Write an inequality for a student volunteering at least 5 hours a week.

Back

x ≥ 5

Front

How do you solve the inequality -4x + 9 - x < -3?

Back

Combine like terms to get -5x + 9 < -3, then isolate x to find x > 12/5.

Front

What does the solution x > 12/5 represent?

Back

It means that x can take any value greater than 12/5.

Front

What is the first step in solving the inequality -4(-7 - 5x) > 188?

Back

Distribute -4 to both terms inside the parentheses.

Front

What is the solution to the inequality -4(-7 - 5x) > 188?

Back

x > 8

Front

What does the solution x ≤ -10 indicate?

Back

It indicates that x can take any value less than or equal to -10.

Front

How do you graph the solution x > 8?

Back

Draw a number line, place an open circle at 8, and shade to the right to indicate all values greater than 8.

Front

What is the meaning of the solution x ≥ -10?

Back

It means that x can take any value greater than or equal to -10.