Multiple Step Solving inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find all values of the variable that make the inequality true.

Front

What is the solution to the inequality -4x + 14 ≤ 54?

Back

x ≥ -10.

Front

How do you isolate a variable in an inequality?

Back

You perform the same operations on both sides of the inequality, just like in equations, but remember to reverse the inequality sign if you multiply or divide by a negative number.

Front

What is the solution to the inequality 3(x - 2) < 2(x + 9)?

Back

x < 24.

Front

What does an open circle represent on a number line?

Back

An open circle indicates that the number is not included in the solution set (e.g., for b < 6).

Front

What does a closed circle represent on a number line?

Back

A closed circle indicates that the number is included in the solution set (e.g., for b ≤ 6).

Front

Which graph represents the inequality -2 ≥ n?

Back

Graph A.

Front

Which graph represents the inequality r ≥ -6?

Back

Graph A.

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 include the boundary point.