372 Equations and Inequalities Review

Front

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

Back

It represents all numbers to the left of 4, not including 4 itself.

Front

What does the inequality x > -6 represent on a number line?

Back

It represents all numbers to the right of -6, not including -6 itself.

Front

What does the inequality x ≥ 3 represent on a number line?

Back

It represents all numbers to the right of 3, including 3 itself.

Front

How do you solve the inequality -2x + 8 > -2?

Back

First, subtract 8 from both sides: -2x > -10. Then, divide by -2 (remember to flip the inequality): x < 5.

Front

What is the solution set for the inequality x < 5?

Back

The solution set includes all real numbers less than 5.

Front

What does the symbol '≥' mean in inequalities?

Back

It means 'greater than or equal to'.

Front

What does the symbol '≤' mean in inequalities?

Back

It means 'less than or equal to'.

Front

How do you graph the inequality x > 3 on a number line?

Back

Draw an open circle at 3 and shade to the right.

Front

What is the difference between '>' and '≥'?

Back

'>' means greater than (not including the number), while '≥' means greater than or equal to (including the number).

Front

What is the solution to the inequality x ≤ -2?

Back

The solution set includes all real numbers less than or equal to -2.