Question
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Tutor-Verified Answer
Answer
\( x < 3 \)
Solution
1. The inequality is given as:
\[
-6x > -18
\]
2. To solve for \( x \), we divide both sides of the inequality by \(-6\). Remember that dividing by a negative number reverses the inequality sign:
\[
x < \frac{-18}{-6}
\]
3. Simplify the fraction:
\[
\frac{-18}{-6} = 3
\]
4. Thus, the solution is:
\[
x < 3
\]
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Simplify this solution Mind Expander
To solve the inequality \( -6x > -18 \), you start by dividing both sides by -6. Remember, when you divide or multiply both sides of an inequality by a negative number, you must flip the direction of the inequality symbol. So, it becomes \( x < 3 \). This means that any number less than 3 is a solution to this inequality! Now, if you want to represent this solution visually, you can plot it on a number line. Just draw a circle at 3 (indicating that 3 is not included) and shade all the numbers to the left, showing that all values less than 3 satisfy the inequality!
