Question

solve the inequality $x + 6 < 10$
$x+6 < 10$
$-6$ $-6$
$x < 4$
subtract 6 on both sides.
$x < 4$ is the solution set of $x + 6 < 10$. graph the solution set.

Explanation:

Step1: Isolate $x$ by subtracting 6

$x + 6 - 6 < 10 - 6$

Step2: Simplify both sides

$x < 4$

Step3: Graph the solution set

On the number line, place an open circle at 4 (since $x$ is strictly less than 4, not equal to 4), then draw an arrow pointing left to represent all values less than 4.

Answer:

The solution is $x < 4$. The graph has an open circle at 4 with an arrow extending to the left along the number line.