Solving Two-Step Inequalities

Front

What is a two-step inequality?

Back

An inequality that requires two operations to isolate the variable.

Front

How do you solve the inequality -4x + 14 ≤ 54?

Back

x ≥ -10.

Front

What does the solution k ≤ -5 represent in a two-step inequality?

Back

It means k can be any number less than or equal to -5.

Front

How do you graph the solution of an inequality?

Back

Use a number line, shading the region that satisfies the inequality.

Front

What is the first step in solving the inequality 2k - 9 ≤ -19?

Back

Add 9 to both sides.

Front

What does the inequality x > -3 mean?

Back

x can be any number greater than -3.

Front

How do you solve the inequality 7k - 2 ≥ -9?

Back

Add 2 to both sides, then divide by 7.

Front

What is the solution to the inequality 7n - 1 > 76?

Back

n > 11.

Front

What does it mean if an inequality has no solution?

Back

It means there are no values that satisfy the inequality.

Front

What is the difference between ≤ and < in inequalities?

Back

≤ includes the boundary value, while < does not.