Alg MYP/H - Mod 05 - Flashcard - Inequalities (2024)

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, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' 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

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'. It indicates that the value on the left is strictly greater than the value on the right.

Front

How do you solve the inequality 7y + 1 > 8y - 9?

Back

To solve, first isolate y: 7y + 1 > 8y - 9 leads to 1 + 9 > 8y - 7y, so 10 > y, or y < 10.

Front

What is the solution set of the inequality 2 < x ≤ -3?

Back

This inequality has no solution because there are no values of x that can satisfy both conditions simultaneously.

Front

How do you graph the inequality -2x > 4?

Back

To graph -2x > 4, first solve for x: x < -2. Then, draw a number line, shade to the left of -2, and use an open circle at -2.

Front

What does the solution set 'x > 2 or x ≤ -3' represent?

Back

This solution set represents all values of x that are either greater than 2 or less than or equal to -3.

Front

What is the first step in solving the inequality 7x - 2(x - 4) ≤ -2?

Back

Distribute the -2: 7x - 2x + 8 ≤ -2, which simplifies to 5x + 8 ≤ -2.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. It indicates that the value on the left is strictly less than the value on the right.

Front

What is the solution to the inequality p ≥ 54?

Back

The solution indicates that p can be any value that is 54 or greater.