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What is the solution to the inequality 6 − 2x < 4?

User JakubRi
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Answer: x > 1

Step-by-step explanation: First, you would rearrange the terms. A sense the equation is 6 - 2x < 4, you would turn the 2x into -2x because there is a subtraction symbol in front of it. Then, you would use additive inverse, turning 6 - into 6 +, switching the signs. Keep the 4 in its position, giving you -2x + 6 < 4. You'd subtract 6 from both sides, cancelling out the 6 on the left side, just leaving -2x, and then you'd do the right side. So 4 - 6 = -2. It would then be -2x = -2. Finally, you would divide both sides by -2. -2 divided by -2 cancels out, because there is a variable, leaving x on the left side. And -2/-2 is 1 on the opposite side. You then change the direction of the inequality sign from < to >. Leaving you with x > 1.

User Jason Buberel
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