Multi-step 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

Solve the inequality: 6x + 10 > 5x - 12

Back

x > -22

Front

When graphing an inequality, what does an open dot represent?

Back

An open dot represents that the number is not included in the solution set, used for inequalities with < or >.

Front

Solve the inequality: 4(2a + 3) < 3(a - 1)

Back

a < -3

Front

What is the first step in solving the inequality 3x - 5 < 7?

Back

Add 5 to both sides to isolate the term with the variable.

Front

What does the symbol ≤ mean in an inequality?

Back

It means 'less than or equal to', indicating that the value can be either less than or exactly equal to the number.

Front

Solve the inequality: -2x + 4 > 10

Back

x < -3

Front

What is the solution set of the inequality -4a ≤ -28?

Back

a ≥ 7

Front

When graphing the solution of x < 3, what type of dot is used?

Back

An open dot is used to indicate that 3 is not included in the solution.

Front

What is the process of isolating the variable in an inequality?

Back

It involves performing operations to get the variable alone on one side of the inequality.