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.