6th grade Inequalities

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?

Back

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

Front

What does the symbol '≥' mean?

Back

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

Front

How do you solve the inequality 24 ≤ h + 15?

Back

Subtract 15 from both sides: 24 - 15 ≤ h, which simplifies to 9 ≤ h or h ≥ 9.

Front

Translate the sentence: 'four more than a number is less than 17' into an inequality.

Back

x + 4 < 17.

Front

How do you solve the inequality r - 14 ≥ 17?

Back

Add 14 to both sides: r ≥ 31.

Front

What is the solution to the inequality x - 41 > 22?

Back

Add 41 to both sides: x > 63.

Front

What does the inequality -3/7 > j represent on a number line?

Back

It represents all numbers to the left of -3/7, not including -3/7.

Front

How do you graph the inequality x + 4 ≤ 17?

Back

First, solve for x: x ≤ 13. Then, draw a closed circle at 13 and shade to the left.

Front

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

Back

'>' means greater than, while '≥' means greater than or equal to.