solving one step inequalities

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 less than, greater than, or equal to another.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left can be less than or equal to the value on the right.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left can be greater than or equal to the value on the right.

Front

How do you solve the inequality: z + 3 < 10?

Back

Subtract 3 from both sides: z < 7.

Front

What is the solution to the inequality: -4 + y < -8?

Back

y < -4.

Front

Write an inequality for the statement: 'You must be at least 48 inches tall to ride the bumper cars.'

Back

h ≥ 48.

Front

How do you solve the inequality: 5n + 2 ≥ 12?

Back

Subtract 2 from both sides: 5n ≥ 10, then divide by 5: n ≥ 2.

Front

What is the solution to the inequality: 3x - 5 < 4?

Back

Add 5 to both sides: 3x < 9, then divide by 3: x < 3.

Front

How do you graph the inequality x ≤ 6?

Back

Draw a number line, place a closed circle on 6, and shade to the left.

Front

What does it mean to 'solve' an inequality?

Back

To solve an inequality means to find all values of the variable that make the inequality true.