give me an example for all these
inequality – a statement that one value is less than, greater than, less than or equal to, greater than or equal to, or not equal to another value
solution of an inequality – a number or value of the variable that makes the inequality a true statement
solution set – a range of numbers, all of which make an inequality a true statement
substitute – to put a number in place of a letter in an equation
Example:
Inequality: \(2x + 5 < 11\)
Solution of the inequality:
\(x = 3\)
Solution set:
\(x < 3\)
Substitute:
If we substitute \(x = 3\) into the original inequality, we get:
\(2(3) + 5 < 11\)
\(6 + 5 < 11\)
\(11 < 11\), which is a false statement.