Q4. - Algebra 2

Question

When 3 times $x$ is increased by 4, the result is less than 16. Which of the following is a graph of the real numbers $x$ that satisfy this relationship?

          

                   

      

Step-by-Step Solution

Answer

The graph of the real numbers  that satisfy this relationship is option (D).

Step 1 – Concept of inequalities

To solve a system of inequalities, we need to evaluate the ordered pair that satisfies all the inequalities of the system.

Step 2 – Evaluate the value of x

It is given that when 3 times $x$ is increased by 4, and then the result is less than 16.

$\begin{array}{c}3x+4<16\\ 3x<16-4\\ 3x<12\\ x<\frac{12}{3}\\ x<4\end{array}$

Step 3 &ndash; Graph of x &#60; 4

The graph of $\mathbf{x}<\mathbf{4}$ is as follows,

Thus, option (D) is the correct graphical representation.