Solving Linear Inequalities

Answer explanation

Step 1: Add 7 to both sides.

Tags

CCSS.6.EE.B.8

Answer explanation

Step 1: Subtract 1 from both sides

Step 2: Divide by 3

Tags

CCSS.7.EE.B.4B

Answer explanation

Step 1: Subtract 2 from both sides

Step 2: Divide both sides by 5

Tags

CCSS.7.EE.B.4B

 $6x-4\ge-2x$ 

•  $x\le\frac{1}{2}$ 

•  $x\le\frac{1}{4}$ 

•  $x\ge\frac{1}{2}$ 

•  $x\ge\frac{1}{4}$ 

Answer explanation

Step 1: Subtract 6 from both sides

Step 2: Divide both sides by 8

Step 3: Since the multiplier is negative, we must reverse the direction of the inequality sign.

Tell me what went wrong when solving this inequality.

Answer explanation

The multiplier (4x) is not negative, so they did not have to reverse the inequality signs.

• Divide all three sides by 3x

• Add 19 to all three sides

• Add 5 to all three sides

• Subtract 1 from all three sides

Answer explanation

You are trying to get x by itself so the first thing you need to do is add 5 to each part of the inequality.

Answer explanation

Step 1: Subtract 6 from all three parts of the inequality

Step 2: Divide all three parts of the inequality by 3

Fill in the blank using the correct inequality sign.

x _ 2

Tags

CCSS.6.EE.B.8

What is the correct inequality for the following graph?

Tags

CCSS.6.EE.B.8