Question

question
solve the inequality and graph the solution on the line provided.
21 - 6x < 15
answer attempt 1 out of 5
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
touch and drag to plot line
submit answer

Explanation:

Step1: Subtract 21 from both sides

To isolate the term with \( z \), we subtract 21 from both sides of the inequality \( 21 - 6z < 15 \). This gives \( 21 - 6z - 21 < 15 - 21 \), which simplifies to \( -6z < -6 \).

Step2: Divide by -6 (reverse inequality)

When dividing an inequality by a negative number, we reverse the inequality sign. Dividing both sides of \( -6z < -6 \) by -6 gives \( z > 1 \) (since dividing by a negative flips the \( < \) to \( > \)).

Answer:

Inequality Notation: \( z > 1 \)
For the number line: Place an open circle at 1 (since the inequality is strict, \( > \), not \( \geq \)) and draw an arrow to the right to represent all numbers greater than 1.