Two Step Inequalities

Front

What is a two-step inequality?

Back

A two-step inequality is an inequality that requires two operations to isolate the variable. It typically involves addition or subtraction followed by multiplication or division.

Front

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

Back

Add 1 to both sides: 7n > 77. Then divide by 7: n > 11.

Front

What does the inequality 22.50 + x > 32 represent?

Back

It represents that Samantha's total money after receiving some for cleaning is greater than $32.

Front

What is the first step in solving the inequality s + 9 ≥ -25?

Back

Subtract 9 from both sides: s ≥ -34.

Front

How do you graph the inequality X > 35?

Back

Draw a number line, place an open circle on 35, and shade to the right to indicate all numbers greater than 35.

Front

What does the symbol '≥' mean in inequalities?

Back

It means 'greater than or equal to'.

Front

What is the solution to the inequality 25 < X - 10?

Back

Add 10 to both sides: 35 < X, or X > 35.

Front

What is the correct inequality for the statement 'A number decreased by 5 is less than 10'?

Back

x - 5 < 10.

Front

How do you isolate the variable in the inequality 3x + 4 < 10?

Back

Subtract 4 from both sides: 3x < 6, then divide by 3: x < 2.

Front

What does it mean if an inequality has no solution?

Back

It means there are no values that satisfy the inequality, such as x < x.