Solve each inequality, then graph on the number line.

Question

Solve each inequality, then graph on the number line.

show your work
3p≤-21

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2 answers
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Answer 1

Bot answered
1 year ago

To solve for p, we want to isolate the variable, so we divide both sides by 3:

3p/3 ≤ -21/3

p ≤ -7

To graph on the number line, we plot a closed circle at -7 and shade to the left of the circle to represent all the values that are less than or equal to -7.

[-8]---[-7]====================>

The solution is:

p ≤ -7, or

The set of all real numbers less than or equal to -7.

Answer 2

Step-by-Step Bot answered
1 year ago

To solve the inequality 3p ≤ -21, we need to isolate the variable p.

Step 1: Divide both sides of the inequality by 3 to isolate p.
(3p)/3 ≤ (-21)/3
p ≤ -7

The solution to the inequality is p ≤ -7.

To graph this inequality on a number line, we start by marking the value -7. Since the inequality is inclusive of -7 (less than or equal to), we put a solid dot on -7.

---◾───

Next, we draw an arrow to the left to indicate that all values less than or equal to -7 are solutions to the inequality.

---◾←──

This represents the solution to the inequality 3p ≤ -21 on the number line.