Solving Multi Step Inequalities

Front

What is the solution to the inequality 6x + 10 > 5x - 12?

Back

x > -22

Front

What symbol is used for an open dot when graphing an inequality?

Back

<, >

Front

If the inequality is c < 9, how would you represent it on a graph?

Back

Use an open dot at 9 and shade to the left.

Front

What symbols require a closed dot when graphing an inequality?

Back

≤, ≥

Front

What is the solution to the inequality 7(x + 3) < 5x + 13?

Back

x < -4

Front

What does it mean to solve a multi-step inequality?

Back

It involves isolating the variable through multiple steps, similar to solving equations.

Front

How do you check the solution of an inequality?

Back

Substitute the solution back into the original inequality to see if it holds true.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the boundary point, while non-strict inequalities (≤, ≥) do.

Front

How do you graph the inequality x ≤ 3?

Back

Use a closed dot at 3 and shade to the left.

Front

What is the first step in solving the inequality 2x + 3 < 11?

Back

Subtract 3 from both sides to isolate the term with the variable.