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Answer
The solution is \( x < -1 \).
Solution
To solve the inequality -3x + 8 > 11, follow these steps:
1. Subtract 8 from both sides:
-3x + 8 - 8 > 11 - 8
-3x > 3
2. Divide both sides by -3 (remember to reverse the inequality sign because you are dividing by a negative number):
x < -1
Thus, the solution is x < -1.
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Simplify this solution The Deep Dive
To solve the inequality \(-3x + 8 > 11\), start by isolating the term with \(x\). Subtract 8 from both sides: \[ -3x > 11 - 8 \] This simplifies to: \[ -3x > 3 \] Next, divide both sides by -3. Remember, when you divide or multiply by a negative number, you must flip the inequality sign: \[ x < -1 \] So, the solution to the inequality is \(x < -1\). Now you're all set to tackle inequalities! Keep practicing, and you'll become a pro in no time!
