Question

solve for x and graph the solution on the number line below.
x + 3 ≤ 7
answer attempt 1 out of 3
< > ≤ ≥ or
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
click and drag to plot line.

Explanation:

Step1: Isolate the variable \(x\)

Subtract \(3\) from both sides of the inequality \(x + 3\leq7\).
Using the subtraction property of inequalities: \(x+3 - 3\leq7 - 3\).
This simplifies to \(x\leq4\).

Answer:

Inequality Notation: \(x\leq4\)
To graph on the number - line: Place a closed circle at \(x = 4\) (because the inequality includes equality, i.e., \(x\) can be equal to \(4\)) and draw a line to the left of \(4\) (since \(x\) is less than or equal to \(4\)).