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3(2x – 1) < 2(4 + 3x)

User Tarit Ray
by
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2 Answers

6 votes

Answer:

for every value of x

Explanation:

6x - 3 < 8 + 6x

6x - 6x < 3 + 8

0 < 5

always

User Bryan McLemore
by
8.0k points
4 votes

Answer: Infinite Solutions

Explanation:

In order to solve the inequality, isolate x.

Given inequality:


\star\quad\sf{3(2x-1) < 2(4+3x)}

Use the distributive property:


\star\quad\sf{6x-3 < 8+6x}

Add 3 to both sides


\star\quad\sf{6x < 8+3+6x}


\star\quad\sf{6x < 11+6x}

Subtract 6x from both sides


\star\quad\sf{6x-6x < 11}


\star\quad\sf{0x < 11}


\star\quad\sf{0 < 11}

Since 0 is less than 11, this statement is true - and we know that any value of x will satisfy the inequality. Therefore, it has infinite solutions.

User Discover
by
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