Solve for x
x>0
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3x>-4\times 2x
Multiply both sides of the equation by 12, the least common multiple of 4,3. Since 12 is positive, the inequality direction remains the same.
3x>-8x
Multiply -4 and 2 to get -8.
3x+8x>0
Add 8x to both sides.
11x>0
Combine 3x and 8x to get 11x.
x>0
Product of two numbers is >0 if both are >0 or both are <0. Since 11>0, x must be >0.
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