Question

solve the inequality and graph the solution on the line provided.
21 - 6x < 15
answer attempt 1 out of 5
< > ≤ ≥ or
inequality notation:
number line:

Explanation:

Step1: Subtract 21 from both sides

$$21 - 6x-21<15 - 21$$
$$-6x<-6$$

Step2: Divide both sides by -6 (and reverse the inequality sign)

When dividing an inequality by a negative number, the inequality sign flips.
$$\frac{-6x}{-6}>\frac{-6}{-6}$$
$$x > 1$$

Answer:

Inequality Notation: \(x>1\)

For graphing on the number - line: Place an open circle at \(x = 1\) (because \(x = 1\) is not included in the solution, since the inequality is \(x>1\)) and draw an arrow to the right of \(1\) to represent all the values of \(x\) that are greater than \(1\).