Solve the inequality 4x < 16 for x.
Understand the Problem
The question asks us to solve the inequality 4x < 16 for x. This involves isolating x by dividing both sides of the inequality by 4.
Answer
$x < 4$
Answer for screen readers
$x < 4$
Steps to Solve
- Isolate x
To isolate $x$ in the inequality $4x < 16$, we need to divide both sides of the inequality by 4.
$$ \frac{4x}{4} < \frac{16}{4} $$
- Simplify
Simplify both sides of the inequality.
$$ x < 4 $$
$x < 4$
More Information
The solution to the inequality $4x < 16$ is all real numbers less than 4. This can be represented on a number line with an open circle at 4 and an arrow extending to the left.
Tips
A common mistake is forgetting to flip the inequality sign when dividing or multiplying by a negative number. However, in this case, we are dividing by a positive number (4), so we don't need to flip the inequality sign. Another common mistake is performing the incorrect arithmetic.
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