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5\left(4\times 11+7\right)<44
Multiply both sides of the equation by 55, the least common multiple of 11,5. Since 55 is positive, the inequality direction remains the same.
5\left(44+7\right)<44
Multiply 4 and 11 to get 44.
5\times 51<44
Add 44 and 7 to get 51.
255<44
Multiply 5 and 51 to get 255.
\text{false}
Compare 255 and 44.
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