Question

solve for ( x ) and graph the solution on the number line below.
( x + 8 < 14 )
answer attempt 1 out of 2
inequality notation:
number line:
number line with -12, -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10, 12 and arrow left and right click and drag to plot line
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Explanation:

Step1: Subtract 8 from both sides

To solve for \( x \) in the inequality \( x + 8 < 14 \), we subtract 8 from both sides of the inequality. This is based on the subtraction property of inequalities, which states that if we subtract the same number from both sides of an inequality, the direction of the inequality remains the same.

\[
x + 8 - 8 < 14 - 8
\]

Step2: Simplify both sides

Simplifying the left - hand side, \( x+8 - 8=x \). Simplifying the right - hand side, \( 14 - 8 = 6 \). So we get:

\[
x<6
\]

Answer:

Inequality Notation: \( x < 6 \)

For the number line: We draw an open circle at 6 (because the inequality is \( < \), not \( \leq \)) and draw a line to the left of 6 to represent all the numbers less than 6.