Solve the following inequality:
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Solve the following inequality:
To solve the inequality , follow these steps:
1. Add 5 to both sides: .
2. Divide both sides by 2: .
Solve the following inequality:
\( 3x+4 \leq 10 \)
You only flip the inequality sign when multiplying or dividing both sides by a negative number. Since we divided by positive 2 in this problem, the sign stays the same!
Pick any number greater than 4 (like x = 5) and substitute it back: . Since this is true, our solution is correct!
> means "greater than" (doesn't include the boundary), while ≥ means "greater than or equal to" (includes the boundary). Our answer uses > because 4 itself doesn't satisfy the original inequality.
Yes! You could divide by 2 first: , then add 2.5. Both methods give the same answer: .
Because we have an inequality (>) not an equation (=). This means x can be any number greater than 4, like 4.1, 5, 10, or 100!
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