Algebra 1 Inequalities Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (such as <, >, ≤, ≥) to show that one expression is larger or smaller than the other.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that a value can be either less than or exactly equal to another value.

Front

Write an inequality for the maximum speed limit of 55 mph.

Back

s ≤ 55, where s represents the speed.

Front

How do you solve the inequality -8(3+5x) > -184?

Back

First, distribute -8: -24 - 40x > -184. Then, add 24 to both sides: -40x > -160. Finally, divide by -40 (remember to flip the inequality): x < 4.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'. It indicates that one value is larger than another.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. It indicates that one value is smaller than another.

Front

What is the solution to the inequality 14 < -2x + 6 - 2x?

Back

First, simplify: 14 < -4x + 6. Then, subtract 6 from both sides: 8 < -4x. Finally, divide by -4 (flip the inequality): x < -2.

Front

What does the graph of x > 2 look like?

Back

The graph of x > 2 is a number line with an open circle at 2 and a line extending to the right, indicating all values greater than 2.

Front

What does the graph of x ≤ -3 look like?

Back

The graph of x ≤ -3 is a number line with a closed circle at -3 and a line extending to the left, indicating all values less than or equal to -3.

Front

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

Back

'And' means both conditions must be true simultaneously, while 'or' means at least one of the conditions must be true.