Solving Inequalities

Front

What does the inequality symbol '>' represent?

Back

The symbol '>' indicates that the solution is greater than a value.

Front

How do you solve the inequality 2(-3m - 5) ≥ -28?

Back

To solve, first distribute: -6m - 10 ≥ -28. Then, add 10 to both sides: -6m ≥ -18. Finally, divide by -6 (remember to flip the inequality): m ≤ 3.

Front

What does the inequality symbol '≤' represent?

Back

The symbol '≤' indicates that the solution is less than or equal to a value.

Front

How can you determine the inequality represented by a number line graph showing an open circle at 3 and shading to the right?

Back

The inequality represented is x > 3.

Front

How do you solve the inequality 3x + 15 ≤ 21?

Back

First, subtract 15 from both sides: 3x ≤ 6. Then, divide by 3: x ≤ 2.

Front

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

Back

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

Front

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

Back

The symbol '<' indicates that the solution is less than a value.

Front

What is the solution set for the inequality x < 5?

Back

The solution set includes all real numbers less than 5.

Front

How do you graph the inequality x ≥ -2 on a number line?

Back

Draw a closed circle at -2 and shade to the right, indicating all numbers greater than or equal to -2.

Front

What is the solution to the inequality -4x < 12?

Back

Divide by -4 (remember to flip the inequality): x > -3.