Two Step Inequality Word Problems

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

Identify the goal, the current amount, and the rate of change. Use a variable to represent the unknown and write an inequality that reflects the relationship.

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.

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.

In this inequality, 'x' represents the number of weeks Sylvia invests $5 from her allowance.

To solve a two-step inequality, first isolate the variable by performing the inverse operations in the correct order, then simplify to find the solution set.

The first step is to subtract 30 from both sides of the inequality to isolate the term with the variable.

Lea needs at least $240 - $30 = $210 more to reach her goal.

The variable 'x' represents the number of cars Lea needs to wash to reach her savings goal.

To define a variable, choose a letter to represent the unknown quantity and clearly state what it represents in the context of the problem.