Solving and Graphing Inequalities #2

Front

What does the inequality b ≤ -2 represent on a number line?

Back

It represents all values of b that are less than or equal to -2, including -2 itself.

Front

When do you use a closed dot on a graph of an inequality?

Back

You use a closed dot when the inequality includes 'less than or equal to (≤)' or 'greater than or equal to (≥)'.

Front

What is the solution to the inequality x + 9 > 21 when x = 15?

Back

True, because 15 + 9 = 24, which is greater than 21.

Front

Will the dot on the graph be colored in for the inequality 5 ≥ x?

Back

Yes, because the inequality includes 'greater than or equal to (≥)', indicating that 5 is included.

Front

Solve the inequality x + 5 > 7. What is x?

Back

x > 2.

Front

What does the inequality b > -2 mean?

Back

It means that b can be any value greater than -2.

Front

How do you represent the inequality x < 3 on a number line?

Back

Draw an open dot at 3 and shade to the left.

Front

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

Back

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

Front

If x - 4 < 10, what is the solution for x?

Back

x < 14.

Front

What does it mean if an inequality has an open dot on a graph?

Back

It means that the value at that point is not included in the solution.