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Anastasy [175]
2 years ago
11

Solve the inequality. Using a verbal statement, in simplest terms, describe the solution of the inequality. Be sure to include t

he terms, "greater than", "greater than or equal to", "less than", or "less than or equal to".
-2x + 3 > 3(2x - 1)
Mathematics
1 answer:
rodikova [14]2 years ago
7 0
-2x + 3 > 3(2x - 1)

the inequality sign > means 'greater than'.

First simplify the right side of the equation by distributing the 3 over the parentheses:-

-2x + 3 > 6x - 3

Now add -6x to both sides of the inequality  which gives us
-8x + 3 > -3
Adding -3 to both sides we have
-8x > -6

The next step is to divide  both sides by -8 so x is isolated on the left side and this gives us the solution. However there is a rule with inequalities that if you divide  the variable term by a negative the inequality is flipped. So in this case , greater that (>) becomes  less than (<):-

-8x / -8 < -6/-8

x <  3/4  is your answer.
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