Question

solve the linear inequality -2(x+2)>4-x
is the final answer

Answer 1

give me a similiar problem

Answer 2

is this right 3(2x-1)<5+x
6x-3<5+x
Subtract 1 from both sides
5x-3<5
Add 3 to both sides
5x<8
Divide by 5
So x<1.6

Answer 3

To solve the linear inequality \(-2(x + 2) > 4 - x\), follow these steps:

1. **Distribute the -2 on the left side:**
\[
-2x - 4 > 4 - x
\]

2. **Add \(x\) to both sides:**
\[
-2x + x - 4 > 4
\]
which simplifies to:
\[
-x - 4 > 4
\]

3. **Add 4 to both sides:**
\[
-x > 8
\]

4. **Multiply both sides by -1** (note that this reverses the inequality):
\[
x < -8
\]

Thus, the solution to the inequality is:
\[
x < -8
\]

To answer your question: the final answer is \(x < -8\).

Answer 4

Sure! Here’s a similar linear inequality problem for you to solve:

\[
3(2x - 1) < 5 + x
\]

Try solving this inequality step by step, and let me know what you find!

Answer 5

Let's go through the solution step-by-step to verify your work on the inequality \(3(2x - 1) < 5 + x\).

1. **Distribute the 3 on the left side:**
\[
3(2x - 1) < 5 + x \implies 6x - 3 < 5 + x
\]

2. **Subtract \(x\) from both sides:**
\[
6x - 3 - x < 5 \implies 5x - 3 < 5
\]

3. **Add 3 to both sides:**
\[
5x - 3 + 3 < 5 + 3 \implies 5x < 8
\]

4. **Divide by 5:**
\[
x < \frac{8}{5} \implies x < 1.6
\]

Your steps are correct, and the final answer is indeed:
\[
x < 1.6
\]

Great job!