Question

Which number line represents the solution to the inequality -5x + 7 < 22?بع

Answer 1

Let's begin by identifying key information given to us:

`\begin{gathered} -5x+7\le22 \\ -5y\le22-7 \\ -5y\le15 \\ Divide\text{ both sides by ''-5'', we have:} \\ y\le-(15)/(5) \\ y\le-3 \end{gathered}`

We will proceed to draw the number line below

y is lesser than or equal to 3; this means the direction of the arrow is towards the left

The lesser than or equal to symbol is denoted by a closed circle

We thus have the diagram as shown below:

Hence, the correct answer is c)