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What is the answer to:
-1.5x -3 < 5.5

2 Answers

4 votes

Answer:

x > -5.667

Explanation:

We have the following inequality
-1.5x -3 < 5.5

We must solve the incus for the variable x


-1.5x -3 < 5.5

Add 3 on both sides of inequality


-1.5x -3 +3 < 5.5 +3\\\\-1.5x<5.5 +3\\\\-1.5x<8.5

Multiply by -1 both sides of the inequality


(-1)*(-1.5)x<8.5*(-1)\\\\1.5x>-8.5

Divide between 1.5 both sides of the inequality


(1.5)/(1.5)x>-(8.5)/(1.5)\\\\x > -5.667

The answer is:


x > -5.667

x > -5.667

User Charile
by
8.3k points
2 votes

For this case we have the following expression:


-1.5x-3 <5.5

Adding 3.1 to both sides of the inequality:


-1.5x <5.5 + 3\\-1.5x <8.5

Dividing between -1.5 on both sides of the inequality, keeping in mind that the sign changes direction:


x> \frac {8.5} {- 1.5}\\x> -5.66666

Answer:


x> -5.66666

x> -5.6 periodical number

User SPatil
by
8.2k points

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