Solving Inequalities 1

Front

Solve the inequality: -3x + 1 ≤ 13

Back

x ≥ -4

Front

Match this number line to its correct solution: x > -2

Back

x > -2

Front

Solve the linear inequality: -5x < 15. (Note: When dividing by a negative, 'flip' the inequality symbol.)

Back

x > -3

Front

Solve the inequality: 10 – 2x ≥ –4

Back

x ≤ 7

Front

Graph the solution set of the inequality: -4n + 1 > -23

Back

n < 6

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or equal to the other.

Front

What does it mean to 'flip' the inequality symbol?

Back

When you multiply or divide both sides of an inequality by a negative number, you must reverse the direction of the inequality symbol.

Front

What is the solution set of an inequality?

Back

The solution set is the set of all values that satisfy the inequality.

Front

How do you graph the solution of x < 3?

Back

Draw a number line, place an open circle on 3, and shade to the left.

Front

What does x ≥ -2 mean on a number line?

Back

It means x can be -2 or any number greater than -2, represented by a closed circle on -2 and shading to the right.