Solve the following inequality:
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Solve the following inequality:
To solve the inequality , follow these steps:
1. Subtract 4 from both sides: .
2. Divide both sides by 3: .
Solve the following inequality:
\( 3x+4 \leq 10 \)
Only when multiplying or dividing both sides by a negative number. Since we divided by positive 3 in this problem, the symbol stays .
The steps are almost identical! The key difference is that inequalities give you a range of solutions (like x ≤ 2) instead of just one number.
It means x can be any number less than or equal to 2. So x could be 2, 1, 0, -5, -100, etc. All these values make the original inequality true!
Pick any number that fits your solution and substitute it back. For , try x = 0: ✓
If you need to divide by a negative to isolate x, that's when you flip the inequality symbol. For example: -2x ≤ 6 becomes x ≥ -3.
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