Question

1. solve then graph the inequality:

\\( \frac { x + 3 } { 5 } < 2 \\)

Explanation:

Step1: Multiply both sides by 5

$$\frac{x + 3}{5}\times5<2\times5$$
$$x + 3<10$$

Step2: Subtract 3 from both sides

$$x+3 - 3<10 - 3$$
$$x<7$$

To graph \(x < 7\) on the number - line:

• Draw a number - line.
• Put an open circle at \(x = 7\) (because \(x\) is not equal to 7) and draw an arrow to the left of 7 (since \(x\) takes values less than 7).

Answer:

The solution of the inequality is \(x<7\). On the number - line, there is an open circle at 7 and an arrow pointing to the left.