Question

solve for ( x ) and graph the solution on the number line below.

( 1>\frac{x}{5} )

answer attempt 1 out of 5

inequality notation:

number line:

Explanation:

Step1: Multiply both sides by 5

$$1\times5>\frac{x}{5}\times5$$

Step2: Simplify the inequality

$$5 > x$$
Which can be rewritten as $$x<5$$

Answer:

Inequality Notation: \(x < 5\)

For the number - line: Place an open circle at \(x = 5\) (since the inequality is strict, \(x
eq5\)) and shade the line to the left of \(5\) (towards the negative direction) to represent all values of \(x\) that are less than \(5\).