Solving MultiStep Inequalities

Front

What is a multi-step inequality?

Back

A multi-step inequality is an inequality that requires more than one step to solve, often involving combining like terms, distributing, and isolating the variable.

Front

How do you solve the inequality 6x + 2 < 14?

Back

Subtract 2 from both sides: 6x < 12. Then divide by 6: x < 2.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to', indicating that the value can be either greater than or equal to a certain number.

Front

When graphing the inequality x < 1, what type of dot is used?

Back

An open dot is used when graphing x < 1, indicating that 1 is not included in the solution.

Front

What is the solution to the inequality 9 ≥ -2m + 2 - 3?

Back

The solution is m ≥ -5.

Front

How do you isolate the variable in the inequality 12x + 400 < 1200?

Back

Subtract 400 from both sides: 12x < 800. Then divide by 12: x < 66.67.

Front

What is the first step in solving the inequality 2x - 3 / 4 = 9?

Back

Multiply both sides by 4 to eliminate the fraction: 2x - 3 = 36.

Front

What does it mean to 'graph an inequality'?

Back

Graphing an inequality means representing the solutions of the inequality on a number line, using open or closed dots to indicate whether endpoints are included.

Front

What is the solution to the inequality 12x + 400 < 1200?

Back

x < 66.67.

Front

What is the difference between '>' and '≥'?

Back

'>' means greater than, while '≥' means greater than or equal to.