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How do you solve the inequality 9x-5<4 or 5x+5>20?

Answer 1

Abigail Allen

#x<1# or #x>3#

Given: #9x-5<4,5x+5>20#.

Solving the first inequality:

#9x-5<4#

#9x<9#

#x<9/9#

#x<1#

Solving the second inequality,

#5x+5>20#

#5x>15#

#x>15/5#

#x>3#

Because we cannot combine these answer to form a single inequality, the final answer will be: #x<1# or #x>3#.

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Answer 2

Eli Assouline

To solve the inequality \(9x - 5 < 4\) or \(5x + 5 > 20\), you need to solve each inequality separately and then combine the solutions. For the first inequality, \(9x - 5 < 4\), add 5 to both sides and then divide by 9 to isolate \(x\). For the second inequality, \(5x + 5 > 20\), subtract 5 from both sides and then divide by 5 to isolate \(x\). After finding the solutions for each inequality, combine them using the logical operator "or" (represented by the symbol \( \lor \)).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

How do you solve the inequality 9x-5&lt;4 or 5x+5&gt;20?

How do you solve the inequality 9x-5<4 or 5x+5>20?