Write an inequality in the form $$ \frac{x}{a}

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We are given an inequality of the form $$ \frac{x}{a}-3. $$ One way to achieve this is to choose $$ a<0 $$. When $$ a $$ is negative, multiplying both sides of the inequality by $$ a $$ (a negative number) reverses the inequality sign. Starting with $$ \frac{x}{a} < b, $$ multiplying by $$ a $$ gives $$ x > ab. $$ To have the solution $$ x>-3 $$, we need $$ ab = -3. $$ A simple choice is to let $$ a=-1 $$. Then we find $$ (-1)b=-3 \quad \Rightarrow \quad b=3. $$ Thus, the inequality becomes $$ \frac{x}{-1} < 3. $$ To verify, start with $$ \frac{x}{-1} < 3. $$ Multiplying both sides by $$-1$$ (and reversing the inequality sign) yields $$ x > -3, $$ which is exactly the desired solution. The final inequality is: $$ \frac{x}{-1} < 3. $$ The inequality is $$ \frac{x}{-1} < 3 $$.

Write an inequality in the form such that the solutions are all real numbers
greater than -3 .

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Write an inequality in the form such that the solutions are all real numbers greater than -3 .