2x -6 < 5

Question

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Answer 1

To solve the inequality $2x-6<5$, follow these steps:

1. Add 6 to both sides to isolate the term with $x$:

   $$2x-6+6<5+6$$

   This simplifies to:

   $$2x<11$$

2. Divide both sides by 2 to solve for $x$:

   $$\frac{2x}{2}<\frac{11}{2}$$

   This simplifies to:

   $$x<5.5$$

So the solution to the inequality is:

$$x<5.5$$

This means that any value of $x$ that is less than 5.5 will satisfy the inequality.