Answer :
Sure, let's solve the inequality step-by-step:
We have the inequality:
[tex]\[ x + 7.5 > -2.5 \][/tex]
To isolate [tex]\( x \)[/tex] and solve the inequality, we need to get rid of the 7.5 on the left side. We can do this by subtracting 7.5 from both sides of the inequality:
1. Subtract 7.5 from both sides:
[tex]\[ x + 7.5 - 7.5 > -2.5 - 7.5 \][/tex]
This simplifies to:
[tex]\[ x > -10 \][/tex]
So, the solution to the inequality is [tex]\( x > -10 \)[/tex].
This means that any value of [tex]\( x \)[/tex] greater than [tex]\(-10\)[/tex] satisfies the inequality.
We have the inequality:
[tex]\[ x + 7.5 > -2.5 \][/tex]
To isolate [tex]\( x \)[/tex] and solve the inequality, we need to get rid of the 7.5 on the left side. We can do this by subtracting 7.5 from both sides of the inequality:
1. Subtract 7.5 from both sides:
[tex]\[ x + 7.5 - 7.5 > -2.5 - 7.5 \][/tex]
This simplifies to:
[tex]\[ x > -10 \][/tex]
So, the solution to the inequality is [tex]\( x > -10 \)[/tex].
This means that any value of [tex]\( x \)[/tex] greater than [tex]\(-10\)[/tex] satisfies the inequality.