Question

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Answer 1

a < -3

Explanation:

Given the inequality:

`\displaystyle{10a+8 < 9a+5}`

Solving a linear inequality is like solving a linear equation, you isolate a-term. Thus, subtract both sides by 9a:

`\displaystyle{10a+8-9a < 9a+5-9a}\\\\\displaystyle{a+8 < 5}`

Subtract both sides by 8:

`\displaystyle{a+8-8 < 5-8}\\\\\displaystyle{a < -3}`

Therefore, the solution is a < -3

Answer 2

a < -3

Explanation:

10a + 8 < 9a + 5

Subtract 9a from both sides.

a + 8 < 5

Subtract 8 from both sides.

a < -3