Solving Inequalities

Front

What does the inequality symbol '≥' mean?

Back

It means 'greater than or equal to'.

Front

How do you represent the solution to the inequality 5 ≥ x on a number line?

Back

You would place a closed dot on 5 and shade to the left.

Front

What is the solution to the inequality 4x - 2 ≤ -22?

Back

x ≤ -5.

Front

What does the inequality symbol '≤' signify?

Back

It signifies 'less than or equal to'.

Front

How do you solve the inequality x + 3 > 7?

Back

Subtract 3 from both sides to get x > 4.

Front

What is the solution set for the inequality 6 > x?

Back

The solution set is all numbers less than 6.

Front

What does the term 'solution set' refer to in the context of inequalities?

Back

It refers to all the values that satisfy the inequality.

Front

How do you graph the inequality x ≥ 1 on a number line?

Back

You place a closed dot on 1 and shade to the right.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the boundary point, while non-strict inequalities (≤, ≥) do.

Front

If x < 3, what can you say about the value of x?

Back

x can be any number less than 3.