Inequalities Flashcard

Front

Define a variable and set up an inequality for: '14 less than twice a number is at most 50.'

Back

2x - 14 ≤ 50

Front

Define a variable and set up an inequality for: 'Eight more than the quotient of a number and -5 is less than or equal to 6.'

Back

x/(-5) + 8 ≤ 6

Front

Define a variable and set up an inequality for: 'The difference between a number and 7 is greater than -23.'

Back

x - 7 > -23

Front

Define a variable and set up an inequality for: 'Two-thirds of a number plus 17 is at least 29.'

Back

Front

If it costs the theater $750 to put on each performance and tickets are $8 each, how many tickets must they sell to profit at least $1,200?

Back

244 tickets

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or equal to the other.

Front

What does 'at most' mean in an inequality?

Back

'At most' indicates that the value can be equal to or less than a certain number.

Front

What does 'at least' mean in an inequality?

Back

'At least' indicates that the value can be equal to or greater than a certain number.

Front

How do you solve an inequality?

Back

To solve an inequality, isolate the variable on one side using inverse operations, similar to solving an equation.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.