Solving 2 Step Inequalities

The video tutorial covers solving inequalities, starting with isolating variables and using inverse operations. It explains how to represent inequalities on a number line and handle rational numbers. The tutorial also addresses solving inequalities with negative coefficients, emphasizing the need to flip the inequality sign when dividing or multiplying by a negative number.

Why is it suggested to circle the variable when solving inequalities?

• To make the equation look neat

• To make the variable look important

• To confuse the solver

• To isolate the variable and focus on it

What is the inverse operation of subtracting 4?

• Multiplying by 4

• Subtracting 4 again

• Dividing by 4

• Adding 4

How is the inequality x < 7 represented on a number line?

• With a hollow circle at -7

• With a solid circle at -7

• With a hollow circle at 7

• With a solid circle at 7

What should you do to both sides of the inequality 2x > -6 to isolate x?

• Multiply by 2

• Divide by 2

• Subtract 2

• Add 2

When dealing with rational numbers in inequalities, what must you do to the divisor?

• Ignore it

• Make it a whole number

• Multiply it by 2

• Make it a fraction

What happens to the inequality sign when you multiply or divide by a negative number?

• It stays the same

• It flips

• It disappears

• It becomes an equal sign

In the inequality -5x < 25, what is the next step to isolate x?

• Add 5

• Multiply by -5

• Subtract 5

• Divide by -5

How is the inequality x ≤ -18 represented on a number line?

• With a solid circle at -18

• With a hollow circle at -18

• With a hollow circle at 18

• With a solid circle at 18

What is the inverse operation of adding 8 in the inequality x/4 + 8 < 12?

• Multiplying by 4

• Adding 4

• Subtracting 8

• Dividing by 4

In the inequality x/4 < 4, what is the next step to isolate x?

• Multiply by 4

• Divide by 4

• Subtract 4

• Add 4