Day 61: Wup 8.PFA.5 MS Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is less than, greater than, less than or equal to, or greater than or equal to the other.

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '>' represent in inequalities?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '≤' represent in inequalities?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' represent in inequalities?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you solve the inequality 6(n + 2) < -72?

Back

First, distribute 6 to get 6n + 12 < -72. Then, subtract 12 from both sides to get 6n < -84. Finally, divide by 6 to find n < -14.

Front

What is the first step in solving the inequality 3(x - 2) < 2(x + 9)?

Back

The first step is to distribute the numbers: 3x - 6 < 2x + 18.

Front

How do you isolate x in the inequality 3(x - 2) < 2(x + 9)?

Back

Subtract 2x from both sides to get x - 6 < 18, then add 6 to both sides to find x < 24.

Front

What is the solution to the inequality 10 > x - 3?

Back

To solve, add 3 to both sides to get 13 > x, or x < 13.

Front

How can you represent the solution x < 24 on a number line?

Back

Draw an open circle at 24 and shade to the left to indicate all numbers less than 24.