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Answer :
To solve the inequality [tex]\(x + 7.5 > -2.5\)[/tex], follow these steps:
1. Identify what you need to solve for: We want to find the value of [tex]\(x\)[/tex] that makes the inequality true.
2. Isolate [tex]\(x\)[/tex]: To get [tex]\(x\)[/tex] by itself on one side of the inequality, subtract 7.5 from both sides of the inequality.
[tex]\[
x + 7.5 - 7.5 > -2.5 - 7.5
\][/tex]
3. Simplify the expression: When you perform the subtraction, you get:
[tex]\[
x > -10
\][/tex]
So, the solution to the inequality is [tex]\(x > -10\)[/tex]. This means any value of [tex]\(x\)[/tex] greater than [tex]\(-10\)[/tex] will satisfy the inequality.
1. Identify what you need to solve for: We want to find the value of [tex]\(x\)[/tex] that makes the inequality true.
2. Isolate [tex]\(x\)[/tex]: To get [tex]\(x\)[/tex] by itself on one side of the inequality, subtract 7.5 from both sides of the inequality.
[tex]\[
x + 7.5 - 7.5 > -2.5 - 7.5
\][/tex]
3. Simplify the expression: When you perform the subtraction, you get:
[tex]\[
x > -10
\][/tex]
So, the solution to the inequality is [tex]\(x > -10\)[/tex]. This means any value of [tex]\(x\)[/tex] greater than [tex]\(-10\)[/tex] will satisfy the inequality.
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