Answer :
To solve the inequality [tex]\(x - 9 \geq 7\)[/tex], we need to find the value of [tex]\(x\)[/tex] that makes this statement true.
1. Start with the inequality:
[tex]\[
x - 9 \geq 7
\][/tex]
2. Add 9 to both sides to isolate [tex]\(x\)[/tex]. This step will help us to get rid of the [tex]\(-9\)[/tex] on the left side:
[tex]\[
x - 9 + 9 \geq 7 + 9
\][/tex]
3. Simplify both sides:
[tex]\[
x \geq 16
\][/tex]
Thus, the solution to the inequality is [tex]\(x \geq 16\)[/tex]. This means that any value of [tex]\(x\)[/tex] that is 16 or greater satisfies the inequality.
Therefore, the correct choice from the given options is:
[tex]\(x \geq 16\)[/tex]
1. Start with the inequality:
[tex]\[
x - 9 \geq 7
\][/tex]
2. Add 9 to both sides to isolate [tex]\(x\)[/tex]. This step will help us to get rid of the [tex]\(-9\)[/tex] on the left side:
[tex]\[
x - 9 + 9 \geq 7 + 9
\][/tex]
3. Simplify both sides:
[tex]\[
x \geq 16
\][/tex]
Thus, the solution to the inequality is [tex]\(x \geq 16\)[/tex]. This means that any value of [tex]\(x\)[/tex] that is 16 or greater satisfies the inequality.
Therefore, the correct choice from the given options is:
[tex]\(x \geq 16\)[/tex]
