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solve the inequality $x + 6 < 10$. $\\begin{align*} x + 6 &< 10\\\\ - 6…

Question

solve the inequality $x + 6 < 10$.
$\

$$\begin{align*} x + 6 &< 10\\\\ - 6 \\quad &- 6 \\quad \\longleftarrow \\text{subtract 6 on both sides.}\\\\ x &< 4 \\end{align*}$$

$x < 4$ is the solution set of $x + 6 < 10$. graph the solution set.
number line from -10 to 10 with tick marks at each integer, and some graphing tools below the number line

Explanation:

Step1: Identify solution value

The solution to \(x + 6 < 10\) is \(x < 4\).

Step2: Graph the solution

On the number line, mark an open circle at 4 (since 4 is not included) and shade all values to the left of 4.

Answer:

An open circle at 4 with shading to the left.