Solve the inequality:
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Solve the inequality:
Inequality equations will be solved like a regular equation, except for one rule:
If we multiply the entire equation by a negative, we will reverse the inequality sign.
We start by moving the sections, so that one side has the variables and the other does not:
-3x>-10-5
-3x>-15
Divide by 3
-x>-5
Divide by negative 1 (to get rid of the negative) and remember to reverse the sign of the equation.
x<5
Solve the inequality:
\( 5-3x>-10 \)
Think of it this way: is true, but when we divide by -1, we get . The relationship flips because negatives reverse the order on a number line!
Only reverse when you multiply or divide both sides by a negative number. Adding or subtracting negatives doesn't change the inequality direction.
It means any number less than 5 will make the original inequality true. Try x = 0: ✓
Yes! Pick any number less than 5 (like x = 2) and substitute: . If it's true, your solution is correct!
Write down the rule: "Divide or multiply by negative = flip the sign". Then double-check by testing a simple number in your final answer.
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