5-1 to 5-3 Check In

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other. Examples include <, >, ≤, and ≥.

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

Front

How do you solve the inequality -2x + 3 > -7?

Back

To solve, first subtract 3 from both sides: -2x > -10. Then divide by -2 (remember to flip the inequality): x < 5.

Front

What is the solution set for the inequality 12 - 2x < 16?

Back

First, subtract 12 from both sides: -2x < 4. Then divide by -2 (flip the inequality): x > -2. The solution set is x > -2.

Front

How do you graph the inequality x < 5 on a number line?

Back

Draw a number line, place an open circle at 5 (not including 5), and shade to the left to indicate all numbers less than 5.

Front

What does the inequality 9 ≤ 2m + 2 - 3 represent?

Back

This inequality can be simplified to 9 ≤ 2m - 1, which means that 2m must be greater than or equal to 10, leading to m ≥ 5.

Front

What is the first step in solving the inequality 2(x + 6) < -6?

Back

Distribute the 2: 2x + 12 < -6. Then, subtract 12 from both sides: 2x < -18.

Front

What does it mean to match a graph to an inequality?

Back

It means to identify which graph correctly represents the solution set of the inequality on a number line.

Front

What is the solution to the inequality -x + 4 ≥ -1?

Back

First, subtract 4 from both sides: -x ≥ -5. Then, multiply by -1 (flip the inequality): x ≤ 5.

Front

How do you interpret the graph of an inequality?

Back

The graph shows the range of values that satisfy the inequality. Open circles indicate values not included, while closed circles indicate values included.