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7-2x\geq 0
Multiply both sides by 3. Since 3 is positive, the inequality direction remains the same. Anything times zero gives zero.
-2x\geq -7
Subtract 7 from both sides. Anything subtracted from zero gives its negation.
x\leq \frac{-7}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
x\leq \frac{7}{2}
Fraction \frac{-7}{-2} can be simplified to \frac{7}{2} by removing the negative sign from both the numerator and the denominator.