Answer :
To solve the inequality [tex]\(x + 7.5 > -2.5\)[/tex], we need to isolate [tex]\(x\)[/tex] on one side. Here’s how you can do it step-by-step:
1. Look at the inequality: [tex]\(x + 7.5 > -2.5\)[/tex].
2. Isolate [tex]\(x\)[/tex]: To do this, subtract 7.5 from both sides of the inequality. This will help remove the 7.5 that is added to [tex]\(x\)[/tex].
[tex]\[
x + 7.5 - 7.5 > -2.5 - 7.5
\][/tex]
3. Simplify both sides: By performing the subtraction on both sides, the equation simplifies to:
[tex]\[
x > -10
\][/tex]
This means that [tex]\(x\)[/tex] can be any number greater than [tex]\(-10\)[/tex]. So, the solution to the inequality [tex]\(x + 7.5 > -2.5\)[/tex] is [tex]\(x > -10\)[/tex].
1. Look at the inequality: [tex]\(x + 7.5 > -2.5\)[/tex].
2. Isolate [tex]\(x\)[/tex]: To do this, subtract 7.5 from both sides of the inequality. This will help remove the 7.5 that is added to [tex]\(x\)[/tex].
[tex]\[
x + 7.5 - 7.5 > -2.5 - 7.5
\][/tex]
3. Simplify both sides: By performing the subtraction on both sides, the equation simplifies to:
[tex]\[
x > -10
\][/tex]
This means that [tex]\(x\)[/tex] can be any number greater than [tex]\(-10\)[/tex]. So, the solution to the inequality [tex]\(x + 7.5 > -2.5\)[/tex] is [tex]\(x > -10\)[/tex].
