Two-Step Inequalities

A two-step inequality is an inequality that requires two operations to isolate the variable. It typically involves addition or subtraction followed by multiplication or division.

Multiply both sides by 11.

It means 'greater than'. For example, if x > 7, x is any number greater than 7.

It means 'less than'. For example, if x < 6, x is any number less than 6.

A closed circle is used because the inequality includes 'greater than or equal to'.

An open circle is used because the inequality does not include 'less than or equal to'.

x \geq 4.

It means 'less than or equal to'. For example, if x ≤ 5, x can be 5 or any number less than 5.

It means 'greater than or equal to'. For example, if x ≥ 3, x can be 3 or any number greater than 3.

Add 5 to both sides to get $$k < 15$$ .