One and Two step inequalities FLASHCARD

Front

What is an inequality?

Back

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

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. For example, 6 > x means 6 is greater than x.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. For example, x < 5 means x is less than 5.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 10 means x is less than or equal to 10.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ -3 means x is greater than or equal to -3.

Front

How do you solve the inequality -4x + 14 ≤ 54?

Back

Subtract 14 from both sides: -4x ≤ 40. Then divide by -4 (remember to flip the inequality): x ≥ -10.

Front

When graphing the inequality b < 6, what type of circle is used?

Back

An open circle is used when graphing b < 6 to indicate that 6 is not included in the solution.

Front

What is the solution set for the inequality 6 > x?

Back

The solution set is all values of x that are less than 6.

Front

How do you represent the inequality 11 ≤ a on a number line?

Back

You would use a closed circle at 11 and shade to the right to indicate all values greater than or equal to 11.

Front

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

Back

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