Math Problem Statement

10<– (a–9)

Solution

The expression you provided is:

10<(a9)10 \lt - (a - 9)

To solve this inequality, let's follow these steps:

  1. Start by distributing the negative sign on the right-hand side:

10<a+910 \lt -a + 9

  1. Subtract 9 from both sides:

109<a10 - 9 \lt -a

1<a1 \lt -a

  1. Multiply both sides by 1-1 to isolate aa (remember to reverse the inequality sign when multiplying or dividing by a negative number):

1>a-1 \gt a

Thus, the solution is:

a<1a < -1

Would you like more details or have any questions?

Here are 5 related questions:

  1. What is the effect of multiplying or dividing inequalities by negative numbers?
  2. How do you solve compound inequalities?
  3. What are some real-world examples of using inequalities?
  4. How do you graph inequalities on a number line?
  5. How do inequalities differ from equations?

Tip: When solving inequalities, always remember to flip the inequality sign when multiplying or dividing by a negative number!

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Math Problem Analysis

Mathematical Concepts

Inequalities
Algebra

Formulas

Inequality solving: distribute, subtract, multiply/divide by negative

Theorems

Multiplying or dividing inequalities by a negative number reverses the inequality sign

Suitable Grade Level

Grades 6-8