Consider the inequality.

Question

2x+5<11


Which number line shows the solution to this inequality?

(1 point)
Responses

Answer 1

To solve the inequality \(2x + 5 < 11\), follow these steps:

1. Subtract 5 from both sides:

   \[ 2x < 11 - 5 \] \[ 2x < 6 \]

2. Divide both sides by 2:

   \[ x < 3 \]

This means that the solution to the inequality is all values of \(x\) that are less than 3.

On a number line, this would be represented by an open circle at 3 (indicating that 3 is not included in the solution) and a shaded line extending to the left, indicating all numbers less than 3.

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