Question

2x + 3(x + 1) <8 I also have to graph the solution

Answer 1

The expression we have is:

$2x+3\mleft(x+1\mright)<8$

Step 1. Use distributive property to multiply 3 by x and by 1:

$2x+3x+3<8$

Step 2. Combine variable like terms 2x + 3x which results in 5x:

$5x+3<8$

Step 3. Substract 3 from both sides of the inequation:

$\begin{gathered} 5x+3-3<8-3 \\ 5x<5 \end{gathered}$

Step 4. Divide both sides by 5:

$\begin{gathered} \frac{5x}{5}<\frac{5}{5} \\ x<1 \end{gathered}$

Solution: x < 1

Step 5. Graph the solution

The solution is represented by the red line on the graph, which includes all of the values less than 1, (not including 1 becuase we have < and not ≤ ).