Answer :
To solve the problem, we need to interpret the statement "7 is at most the difference of a number and 5." This can be expressed mathematically as:
1. [tex]\( 7 \leq x - 5 \)[/tex]
Now, let's solve the inequality:
1. Start with the inequality:
[tex]\( 7 \leq x - 5 \)[/tex]
2. To isolate [tex]\( x \)[/tex], add 5 to both sides of the inequality:
[tex]\( 7 + 5 \leq x \)[/tex]
3. Simplify the left side:
[tex]\( 12 \leq x \)[/tex] or [tex]\( x \geq 12 \)[/tex]
This means that the number [tex]\( x \)[/tex] must be greater than or equal to 12. Therefore, the solution to the inequality is [tex]\( x \geq 12 \)[/tex].
1. [tex]\( 7 \leq x - 5 \)[/tex]
Now, let's solve the inequality:
1. Start with the inequality:
[tex]\( 7 \leq x - 5 \)[/tex]
2. To isolate [tex]\( x \)[/tex], add 5 to both sides of the inequality:
[tex]\( 7 + 5 \leq x \)[/tex]
3. Simplify the left side:
[tex]\( 12 \leq x \)[/tex] or [tex]\( x \geq 12 \)[/tex]
This means that the number [tex]\( x \)[/tex] must be greater than or equal to 12. Therefore, the solution to the inequality is [tex]\( x \geq 12 \)[/tex].
