What property multiplies a reciprocal to achieve a 1x? $$\frac{1}{2}x\ge3$$

Subtraction Property of Equality

Which side is larger? $$\frac{1}{2}x\ge3$$

Either both sides are the same or the left side is larger

Either both sides are the same or the right side is larger

After multiplying both sides by 2, which side will be larger? $$\frac{1}{2}x\ge3$$

Either both sides are the same or the left side is larger

Either both sides are the same or the right side is larger

After dividing both sides by -3, which side will be larger? $$-3x\ >\ 12$$ $$\frac{-3x}{-3}>\ \frac{12}{-3}$$

Either both sides are the same or the left side is larger

Either both sides are the same or the right side is larger

In the beginning equation, the left side has a negative coefficient and the right side is a positive number. What significant changes are in the final equation? $$-3x\ >\ 12$$ $$\frac{-3x}{-3}>\ \frac{12}{-3}$$ $$x\

The coefficient on the left changes to positive 1 and the right side became a negative, therefor the inequality sine must switch directions.

I don't know because I didn't read the question carefully and didn't really analyze the example, so I'm just going to guess that this isn't the answer.

Select all good possibilities: $$\ \frac{1}{4}x\ -\ 5\ >\ -\frac{3}{4}x\ -1$$

Multiply everything by 4 to get ride of fractions

What would the equation look like if you multiply every piece by 4? $$\ \frac{1}{4}x\ -\ 5\ >\ -\frac{3}{4}x\ -1$$

$$\frac{1}{4}x\ >\ -\frac{3}{4}x+4$$

What will the graph look like? $$x\ >\ 2$$

An open circle on 2 with an arrow pointing to solutions to the right of 2.

An open circle on 2 with an arrow pointing to solutions to the left of 2.

A filled in circle on 2 with an arrow pointing to solutions that are equal to 2.

What will the graph look like? $$-\frac{1}{2}x\ >1$$

An open circle on -2 with an arrow pointing to solutions to the left of -2.

An open circle on -2 with an arrow pointing to solutions to the right of -2.

A filled in circle on -2 with an arrow pointing to solutions that are equal to -2.

Why is the circle filled in on graph of $$x\ \le3$$ ?

Because 3 is included in the possible answers

Because the answer is less than 3

Why is the circle NOT filled in on graph of $$x\ >3$$ ?

Because the answers are greater than 3, but don't include 3.

Because the answers are less than 3, but don't include 3.

Because 3 is included in the possible answers

Solving Inequalities

Authored by Seth Ellis

Mathematics

9th Grade

CCSS covered

Used 2+ times

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The Left Side

The Right Side

They are Equal

Either the Left Side is bigger or They are Equal

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Addition property of Inequality

Subtraction Property of Inequality

Multiplication Property of Inequality

Division Property of Inequality

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