Ch 5 and 6 Final Study

Front

What is the solution to the inequality x + 8 < 3 or -8x < -40?

Back

x < -5 or x > 5.

Front

Solve the inequality: -3 - 6(4x + 6) > -111.

Back

x < 3.

Front

Write a system of equations for Michael and Shaun's fish purchases: Michael spent $50 for 6 tigerfish and 8 goldfish, Shaun spent $5 more for 5 tigerfish and 10 goldfish.

Back

Front

Solve the absolute value inequality: |3c - 4| < 12.

Back

-2 2/3 < c < 5 1/3.

Front

What system of equations can be used to find the number of toppings (x) when both pizza companies cost (y) the same?

Back

Front

What does the term 'inequality' mean in mathematics?

Back

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

Front

Define 'absolute value'.

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables that are solved together.

Front

Explain the concept of 'solution set' in inequalities.

Back

The solution set of an inequality is the set of all values that satisfy the inequality.

Front

What is the difference between 'and' and 'or' in compound inequalities?

Back

'And' means both conditions must be true, while 'or' means at least one condition must be true.