Question

Solve: 4(x+3) ≥ 2(2x-2)Group of answer choicesno solutionone solutioninfinite solutionstwo solutions

Answer 1

Step 1:

Write the equation

`4(\text{ x + 3 ) }\ge\text{ 2( 2x - 2 )}`

Step 2:

`\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}`

Final answer

The solution is true for all values of x.

Infinite solutions