Linear Inequality Test pt 4

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (such as <, >, ≤, or ≥).

Front

How do you represent a situation with a linear inequality?

Back

Identify the variables, determine the constraints, and express the relationship using an inequality.

Front

What does the symbol '≤' mean in a linear inequality?

Back

It means 'less than or equal to', indicating that the value can be either less than or equal to the number.

Front

What does the symbol '≥' mean in a linear inequality?

Back

It means 'greater than or equal to', indicating that the value can be either greater than or equal to the number.

Front

How do you solve a linear inequality?

Back

Isolate the variable on one side of the inequality using inverse operations, similar to solving an equation.

Front

What is the graphical representation of a linear inequality?

Back

It is represented on a coordinate plane as a shaded region, with a boundary line that may be solid (for ≤ or ≥) or dashed (for < or >).

Front

What is the significance of the flat rate in a taxi fare problem?

Back

The flat rate is a fixed cost that must be included in the total cost calculation before adding variable costs per mile.

Front

In the context of saving money, what does 'at least' imply in an inequality?

Back

It implies that the amount saved must be equal to or greater than a specified value, represented by '≥'.

Front

How do you interpret the constraints in a word problem involving time?

Back

Constraints like time limits can be expressed as inequalities that restrict the total time spent on activities.

Front

What is the importance of defining variables in a linear inequality problem?

Back

Defining variables helps to clarify what each quantity represents, making it easier to set up the inequalities.