Question

2x + 8 ≤ 14
what is the value of x?
?graph

Explanation:

Step1: Subtract 8 from both sides

To solve the inequality \(2x + 8\leq14\), we first subtract 8 from both sides. This gives us \(2x + 8 - 8\leq14 - 8\), which simplifies to \(2x\leq6\).

Step2: Divide both sides by 2

Next, we divide both sides of the inequality \(2x\leq6\) by 2. So, \(\frac{2x}{2}\leq\frac{6}{2}\), which simplifies to \(x\leq3\).

Answer:

The solution to the inequality \(2x + 8\leq14\) is \(x\leq3\). To graph this, we draw a number line, place a closed circle at 3 (since the inequality is "less than or equal to"), and shade the region to the left of 3 to represent all values of \(x\) that satisfy the inequality.