Inequalities - 7th grade 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 inequalities?

Back

The symbol '>' means 'greater than'. For example, x > 4 means x is any number greater than 4.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'. For example, x < 3 means x is any number less than 3.

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 5 means x is any number greater than or equal to 5.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 2 means x is any number less than or equal to 2.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality x + 3 ≤ 16?

Back

Subtract 3 from both sides: x ≤ 16 - 3, which simplifies to x ≤ 13.

Tags

CCSS.7.EE.B.4B

Front

What is the solution to the inequality -4x + 6 > -14?

Back

First, subtract 6 from both sides: -4x > -20. Then, divide by -4 (remember to flip the inequality): x < 5.

Tags

CCSS.6.EE.B.8

Front

How do you represent the inequality x > -16 on a number line?

Back

Draw an open circle at -16 and shade to the right, indicating all numbers greater than -16.

Tags

CCSS.6.EE.B.8

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the boundary value, while non-strict inequalities (≤, ≥) do include the boundary value.

Tags

CCSS.6.EE.B.8

Front

What is the solution set for the inequality 11 ≤ a?

Back

The solution set includes all numbers greater than or equal to 11.