3.3.1 Mid-Unit Flashcard Redemption

Front

What does the inequality -7x > 42 represent?

Back

This inequality represents a range of values for x that, when multiplied by -7, result in a value greater than 42. To solve, divide both sides by -7, remembering to reverse the inequality sign: x < -6.

Front

What is the solution to the inequality 4 ≥ x + 6?

Back

The solution is x ≤ -2. To find this, subtract 6 from both sides: 4 - 6 ≥ x, which simplifies to -2 ≥ x.

Front

What is the error in solving the inequality x + 3 > 2?

Back

The error is not reversing the inequality when moving terms. The correct solution is x > -1.

Front

What are the requirements for Alonzo's swimming course?

Back

Alonzo must swim 250 feet, tread water for 6 minutes, and swim 35 feet underwater. He does not satisfy the requirements as he only swam 250 feet and did not meet the treading water requirement.

Front

How do you express '12 less than 5 times an unknown number x is greater than 27' as an inequality?

Back

The correct inequality is 5x - 12 > 27.

Front

What is the first step in solving the inequality 3x - 5 < 10?

Back

The first step is to add 5 to both sides: 3x < 15.

Front

What does it mean to reverse the inequality sign?

Back

Reversing the inequality sign occurs when you multiply or divide both sides of an inequality by a negative number.

Front

How do you graph the solution to the inequality x < -6?

Back

On a number line, draw an open circle at -6 and shade to the left to indicate all numbers less than -6.

Front

What is the solution to the inequality 2x + 4 ≥ 12?

Back

Subtract 4 from both sides to get 2x ≥ 8, then divide by 2 to find x ≥ 4.

Front

What is the significance of an open circle on a number line?

Back

An open circle indicates that the number is not included in the solution set (e.g., x < 3 means 3 is not part of the solution).