1.5 inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you solve the inequality @@3x - 4 ge 2(x + 1)@@?

Back

First, distribute to eliminate parentheses: @@3x - 4 ge 2x + 2@@.

Front

What is the first step in solving @@x - 4 ge 2@@?

Back

Eliminate the constant -4 from the left side by adding 4 to both sides.

Front

What does it mean to combine like terms in an inequality?

Back

Combining like terms means to simplify the expression by adding or subtracting terms that have the same variable and exponent.

Front

How do you isolate the variable in the inequality @@3x - 4 ge 2x + 2@@?

Back

Front

Back

Front

What is the next step after distributing in the inequality @@-2x ge 5x - 4(2x + 1)@@?

Back

Combine like terms on one side after distributing.

Front

What does it mean to eliminate a variable from an inequality?

Back

Eliminating a variable means to remove it from one side of the inequality to isolate the other variable.