Step 1:
Write the equation
[tex]4(\text{ x + 3 ) }\ge\text{ 2( 2x - 2 )}[/tex]Step 2:
[tex]\begin{gathered} 4(\text{ x + 3 ) }\ge\text{ 2( 2x - 2 )} \\ 4x\text{ + 12 }\ge\text{ 4x - }4 \\ \text{Subtract 4x from both sides} \\ 4x\text{ + 12 - 4x }\ge\text{ 4x - 4x - }4 \\ 12\text{ }\ge\text{ -}4 \\ 0\text{ }\ge\text{ - 4 - 12} \\ \text{0 }\ge\text{ -16} \end{gathered}[/tex]Final answer
The solution is true for all values of x.
Infinite solutions
