To solve the inequality [tex]\( -14 < -10 + x \)[/tex] and find the value of [tex]\( x \)[/tex], follow these steps:
1. Start with the given inequality:
[tex]\[
-14 < -10 + x
\][/tex]
2. To isolate [tex]\( x \)[/tex], you need to get rid of the [tex]\(-10\)[/tex] on the right side of the inequality. You can do this by adding [tex]\( 10 \)[/tex] to both sides of the inequality:
[tex]\[
-14 + 10 < -10 + x + 10
\][/tex]
3. Simplify both sides of the inequality. On the left side, adding [tex]\(-14\)[/tex] and [tex]\(10\)[/tex] results in:
[tex]\[
-4 < x
\][/tex]
4. On the right side, [tex]\(-10 + 10\)[/tex] cancels out to zero, leaving:
[tex]\[
-4 < x
\][/tex]
Therefore, the solution to the inequality [tex]\( -14 < -10 + x \)[/tex] is:
[tex]\[
x > -4
\][/tex]
This means that [tex]\( x \)[/tex] must be greater than [tex]\(-4\)[/tex].
