11.01.2023 Exit Ticket: Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (>, <, ≥, ≤) to show that one expression is greater than, less than, or equal to another.

Front

What does the symbol '≥' represent?

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

How do you solve the inequality 9 ≥ -2m + 2 - 3?

Back

To solve, first simplify: 9 ≥ -2m - 1. Then, add 1 to both sides: 10 ≥ -2m. Divide by -2 (remember to flip the inequality): m ≥ -5.

Front

What is the solution to the inequality 6x + 10 > 5x - 12?

Back

To solve, subtract 5x from both sides: x + 10 > -12. Then, subtract 10: x > -22.

Front

What does the solution set of an inequality represent?

Back

The solution set of an inequality represents all the values that satisfy the inequality, indicating the range of possible solutions.

Front

How do you check the solution of an inequality?

Back

To check the solution, substitute a value from the solution set back into the original inequality to see if it holds true.

Front

What is the solution to the inequality 12 ≥ 15 - 6y?

Back

To solve, first rearrange: 12 ≥ 15 - 6y. Subtract 15: -3 ≥ -6y. Divide by -6 (flip the inequality): y ≥ ½.

Front

What does the symbol '≤' represent?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left is either less than or equal to the value on the right.

Front

How do you solve the inequality -4x + 14 ≤ 54?

Back

To solve, first subtract 14 from both sides: -4x ≤ 40. Then, divide by -4 (flip the inequality): x ≥ -10.

Front

What is the importance of flipping the inequality sign when multiplying or dividing by a negative number?

Back

Flipping the inequality sign is crucial because it maintains the truth of the inequality when the direction of the comparison changes due to multiplication or division by a negative number.