Linear Inequalities Review

Front

What is a linear inequality?

Back

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

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding linear equation as a dashed line (for < or >) or a solid line (for ≤ or ≥). Then shade the region that satisfies the inequality.

Front

What does it mean to flip the inequality sign?

Back

Flipping the inequality sign occurs when you multiply or divide both sides of an inequality by a negative number.

Front

Solve the inequality: 2x - 5 < 3.

Back

x < 4.

Front

What is the solution set of the inequality: 3x + 2 ≥ 11?

Back

x ≥ 3.

Front

How do you isolate the variable in an inequality?

Back

To isolate the variable, perform the same operations on both sides of the inequality, similar to solving an equation.

Front

What is the difference between '≥' and '>'?

Back

'≥' means 'greater than or equal to', while '>' means 'greater than' only.

Front

Solve the inequality: -4x + 8 > 0.

Back

x < 2.

Front

What is the graphical representation of the inequality y < -2x + 3?

Back

The graph will have a dashed line for y = -2x + 3, and the area below the line will be shaded.

Front

What does the solution 'b < -8' indicate?

Back

It indicates that b can take any value less than -8.