Two-Step Inequalities w/ positives only

Front

What is a two-step inequality?

Back

A two-step inequality is an inequality that requires two operations to isolate the variable. For example, in the inequality 2x + 3 > 7, you would first subtract 3 from both sides and then divide by 2.

Front

How do you solve the inequality 7n - 1 > 76?

Back

Add 1 to both sides to get 7n > 77, then divide by 7 to find n > 11.

Front

What does the symbol '>' mean in inequalities?

Back

'>' means 'greater than'. It indicates that the value on the left is larger than the value on the right.

Front

What does the symbol '≥' mean in inequalities?

Back

'≥' means 'greater than or equal to'. It indicates that the value on the left is either larger than or equal to the value on the right.

Front

How do you graph the solution of an inequality?

Back

To graph an inequality, draw a number line, place a circle on the number that represents the boundary, and shade to the right for 'greater than' or to the left for 'less than'. Use an open circle for '>' or '<' and a closed circle for '≥' or '≤'.

Front

Solve the inequality 3x + 2 > 14.

Back

Subtract 2 from both sides to get 3x > 12, then divide by 3 to find x > 4.

Front

What is the solution to the inequality 4x - 4 > 8?

Back

Add 4 to both sides to get 4x > 12, then divide by 4 to find x > 3.

Front

Solve the inequality 9x - 3 > 6.

Back

Add 3 to both sides to get 9x > 9, then divide by 9 to find x > 1.

Front

What is the solution to the inequality 5x - 7 ≥ 8?

Back

Add 7 to both sides to get 5x ≥ 15, then divide by 5 to find x ≥ 3.

Front

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

Back

'>' means the value is strictly greater, while '≥' includes the possibility of being equal.