One Step Inequalities & Word Problems

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

How do you represent a situation where a quantity must be greater than a certain value using an inequality?

Back

You can represent it using the 'greater than' symbol (>). For example, if a quantity x must be greater than 32, it can be written as x > 32.

Front

What does the inequality 8d > 32 represent in a real-world context?

Back

It represents a situation where the total earnings from walking d dogs, each earning $8, must be greater than $32.

Front

How can you express a situation where the total weight of two twins is less than 16 pounds using an inequality?

Back

You can express it as 2w < 16, where w is the weight of each twin.

Front

What does the inequality x ÷ 4 ≤ 60 signify in a group contribution scenario?

Back

It signifies that the amount each person contributes (x) divided by 4 (the number of sisters) must be less than or equal to $60.

Front

How do you set up an inequality for a maximum height a tree can grow?

Back

You can set it up as current height + growth ≤ maximum height. For example, if a tree is currently 6 feet tall and can grow to a maximum of 35 feet, the inequality is 6 + f ≤ 35.

Front

What does the inequality 37 + t ≥ 60 indicate about temperature changes?

Back

It indicates that the starting temperature of 37 degrees plus the increase in temperature (t) must be at least 60 degrees.

Front

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

Back

Strict inequalities use 'greater than' (>) or 'less than' (<), while non-strict inequalities use 'greater than or equal to' (≥) or 'less than or equal to' (≤).

Front

How can you solve the inequality 8d > 32 for d?

Back

To solve for d, divide both sides of the inequality by 8: d > 4.

Front

What is the first step in solving an inequality?

Back

The first step is to isolate the variable on one side of the inequality, similar to solving an equation.