Question

question
solve for x and graph the solution on the number line below.
7 + x < 16
answer attempt 1 out of 5
< > ≤ ≥ or
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
touch and drag to plot line.
submit answer

Explanation:

Step1: Isolate x

Subtract 7 from both sides of the inequality \(7 + x < 16\).
\(7 + x - 7 < 16 - 7\)
Simplify to get \(x < 9\).

Step2: Write Inequality Notation

The solution in inequality notation is \(x < 9\).

Step3: Graph on Number Line

On the number line, draw an open circle at 9 (since \(x\) is less than 9, not equal to 9) and shade the line to the left of 9 to represent all values of \(x\) less than 9.

Answer:

Inequality Notation: \(x < 9\)
(For the number line: Open circle at 9, shade left.)