Solving Two-Step Inequalities

Front

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

Back

<, >

Front

Solve and graph the inequality: 7n - 1 > 76

Back

n > 11, graph with an open dot at 11 and shade to the right.

Front

Solve the inequality: y + 7 ≥ 12

Back

y ≥ 5

Front

Solve the inequality: -4x + 14 ≤ 54

Back

x ≥ -10

Front

Solve for k: 2k - 9 ≤ -19

Back

k ≤ -5

Front

What does it mean when an inequality has a closed dot on a number line?

Back

It means the number is included in the solution (≤ or ≥).

Front

What does it mean when an inequality has an open dot on a number line?

Back

It means the number is not included in the solution (< or >).

Front

How do you isolate a variable in an inequality?

Back

Perform the same operations on both sides of the inequality, just like in equations.

Front

What is the first step to solve the inequality: 3x + 4 < 10?

Back

Subtract 4 from both sides: 3x < 6.

Front

What is the solution to the inequality: 5 - 2x ≥ 1?

Back

x ≤ 2.