Subjects algebra

Solve Inequality 684091

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1. **State the problem:** Solve the inequality $2x - 16 > -26$. 2. **Add 16 to both sides to isolate the term with $x$:** $$2x - 16 + 16 > -26 + 16$$ $$2x > -10$$ 3. **Divide both sides by 2 to solve for $x$:** $$\frac{2x}{\cancel{2}} > \frac{-10}{\cancel{2}}$$ $$x > -5$$ 4. **Interpretation:** The solution is all values of $x$ greater than $-5$. **Final answer:** $$x > -5$$