Subjects algebra

Inequality X Value 857436

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Inequality X Value 857436


1. **State the problem:** We need to find a possible value of $x$ such that the point $(x, 53)$ satisfies the system of inequalities: $$y > 14$$ $$4x + y < 18$$ 2. **Check the first inequality:** Since $y = 53$, check if $53 > 14$. Yes, $53 > 14$ is true. 3. **Check the second inequality:** Substitute $y = 53$ into $4x + y < 18$: $$4x + 53 < 18$$ 4. **Solve for $x$:** $$4x < 18 - 53$$ $$4x < -35$$ $$x < -\frac{35}{4}$$ $$x < -8.75$$ 5. **Interpretation:** The $x$ value must be less than $-8.75$ to satisfy the second inequality. 6. **Check the options:** - A: $-9$ (less than $-8.75$) ✔ - B: $-5$ (not less than $-8.75$) ✘ - C: $5$ (not less than $-8.75$) ✘ - D: $9$ (not less than $-8.75$) ✘ **Final answer:** The possible value of $x$ is $-9$.