Question

which of the following is not a way to represent the solution of the inequality 2(x+1) >or equal to 20?

Answer 1

Answer:

The only incorrect choice in the options is B.

A number line with a closed circle on 9 and shading to the left

Explanations:

The given inequality is expressed as:

`2\text{ (x + 1) }\ge\text{ 20}`Step 1: Open up the brackets
`2x\text{ + 2 }\ge\text{ 20}`Step 2: Collect like terms
`\begin{gathered} 2x\text{ }\ge\text{ 20 - 2} \\ 2x\text{ }\ge\text{ 18} \end{gathered}`Step 3: Divide both sides by 2
`\begin{gathered} (2x)/(2)\ge(18)/(2) \\ x\text{ }\ge\text{ 9} \end{gathered}`This can also be written as:
`9\text{ }\leq\text{ x}`Drawing this on a number line:

This means that x is includes 9 and all the numbers above 9.

From the number line drawn above. A number line with a close circle on 9 and shading to the right is drawn.