Questions: Consider the following inequality problem. 2z + 4 / 2 > 6 and -2(z - 2) > 16 Step 2 of 3: Solve the second inequality and express your answer in interval notation. Use decimal form for numerical values.

Consider the following inequality problem.
2z + 4 / 2 > 6 and -2(z - 2) > 16

Step 2 of 3: Solve the second inequality and express your answer in interval notation. Use decimal form for numerical values.

Transcript text: Consider the following inequality problem. \[ \frac{2 z+4}{2}>6 \quad \text { and } \quad-2(z-2)>16 \] Step 2 of 3 : Solve the second inequality and express your answer in interval notation. Use decimal form for numerical values.

Solution

Solution Steps

Step 1: Solve the second inequality

The second inequality is: \[ -2(z-2) > 16 \]

Step 2: Distribute the \(-2\) on the left side

\[ -2z + 4 > 16 \]

Step 3: Subtract 4 from both sides

\[ -2z > 12 \]

Step 4: Divide both sides by \(-2\) (remember to reverse the inequality sign when dividing by a negative number)

\[ z < -6 \]

Step 5: Express the solution in interval notation

The solution in interval notation is: \[ (-\infty, -6) \]

Final Answer

\(\boxed{(-\infty, -6)}\)

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >

Thank you for your feedback.

Copied!