Problem

Solve the inequality, and graph the solution on a number line.
\[
2 x+5 \leq 11
\]
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution is
(Type an inequality. Simplify your answer.)
B. The solution is all real numbers.
C. There is no solution.
Choose the correct graph of the solution.
A.
C.
B.
D.
$\mathrm{F}$.

Answer

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Answer

\(\boxed{x \leq 3}\) is the final answer to the inequality \(2x + 5 \leq 11\).

Steps

Step 1 :The first step to solve the inequality is to isolate the variable x. We can do this by subtracting 5 from both sides of the inequality and then dividing by 2.

Step 2 :After solving the inequality, we get \(x \leq 3\). This means that any value of x that is less than or equal to 3 will satisfy the inequality.

Step 3 :Now, we need to graph this solution on a number line. The graph of the solution on a number line is a line extending from \(x = 3\) to negative infinity, with a closed circle at \(x = 3\) to indicate that \(x = 3\) is included in the solution.

Step 4 :\(\boxed{x \leq 3}\) is the final answer to the inequality \(2x + 5 \leq 11\).

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