Question

solve the following inequality and graph the solution.
-2(x - 2) - 2x < - (4x + 5) + 3x

select the correct choice and fill in the answer box to complete your choice.

a. ( x geq square )

b. ( x < square )

c. ( x leq square )

d. ( x > square )

Explanation:

Step1: Expand both sides

$$\begin{align*} -2x + 4 - 2x &< -4x - 5 + 3x \end{align*}$$

Step2: Combine like terms

$$\begin{align*} -4x + 4 &< -x - 5 \end{align*}$$

Step3: Add $4x$ to both sides

$$\begin{align*} 4 &< 3x - 5 \end{align*}$$

Step4: Add 5 to both sides

$$\begin{align*} 9 &< 3x \end{align*}$$

Step5: Divide by 3

$$\begin{align*} 3 &< x \quad \text{or} \quad x > 3 \end{align*}$$

Answer:

D. $x > 3$