One Step Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'.

Front

How do you solve the inequality 12 ≥ 6w?

Back

Divide both sides by 6: w ≤ 2.

Front

What is the solution to the inequality -8x < 48?

Back

x > -6.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality means representing the solution on a number line, using open or closed dots to indicate whether the boundary is included.

Front

What is the difference between an open dot and a closed dot on a graph?

Back

An open dot indicates that the number is not included in the solution (for < or >), while a closed dot indicates that the number is included (for ≤ or ≥).

Front

Solve and graph the inequality 30 + n ≥ 50.

Back

n ≥ 20. Graph with a closed dot at 20.

Front

What is the first step in solving an inequality?

Back

Isolate the variable on one side of the inequality.

Front

What does it mean if an inequality has no solution?

Back

It means there are no values that satisfy the inequality.