Solve the inequality for x: -19 > -4 + x
Understand the Problem
The question asks to solve the inequality $-19 > -4 + x$ for $x$ and to simplify the answer as much as possible. This involves isolating $x$ on one side of the inequality.
Answer
$x < -15$
Answer for screen readers
$x < -15$
Steps to Solve
- Isolate x by adding 4 to both sides
To isolate $x$, we need to add $4$ to both sides of the inequality: $$ -19 + 4 > -4 + x + 4 $$
- Simplify both sides
Simplifying both sides of the inequality gives us: $$ -15 > x $$
- Rewrite the inequality (optional)
We can rewrite the inequality to have $x$ on the left side. Remember to flip the inequality sign: $$ x < -15 $$
$x < -15$
More Information
The solution to the inequality $-19 > -4 + x$ is $x < -15$. This means that any value of $x$ that is less than $-15$ will satisfy the original inequality. For example, if $x = -16$, then $-19 > -4 + (-16)$ simplifies to $-19 > -20$, which is true.
Tips
A common mistake is forgetting to flip the inequality sign when rewriting the inequality with $x$ on the left side. Also, errors in addition/subtraction of negative numbers.
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