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3 years ago

14

-1/2x + 6 < 4x - 3 i need to find the value of X with step-by-step explanation

2 answers:

Ray Of Light [21]3 years ago

8 0

Answer:

$\boxed{\boxed{\tt x>2}}$

Step-by-step explanation:

$\tt -\cfrac{1}{2}x+6$

<u>Subtract 6 from both sides:</u>

<u /> $\tt -\cfrac{1}{2}x+6-6$ <u />

<u /> $\tt -\cfrac{1}{2}x$ <u />

<u>Now, subtract 4x from both sides:</u>

<u /> $\tt -\cfrac{1}{2}x-4x$ <u />

<u /> $\tt -\cfrac{9}{2}x$ <u />

<u>Multiply both sides by -1:</u>

<u /> $\tt -\cfrac{9}{2}x\times -1$ <u />

<u /> $\tt \cfrac{9}{2}x>9$ <u />

<u>Multiply both sides by 2:</u>

<u /> $\tt 2\times \cfrac{9}{2}x>9\times \:2$ <u />

<u /> $\tt 9x>18$ <u />

<u>Divide both sides by 9:</u>

<u /> $\tt \cfrac{9x}{9}>\cfrac{18}{9}$ <u />

<u /> $\tt x>2$ <u />

<u>____________________________</u>

WITCHER [35]3 years ago

7 0

Answer:

x > 2

Step-by-step explanation:

-1/2x + 6 < 4x - 3

Start by adding 1/2x to both sides to get both x's on the same side

6 < 4 1/2x - 3

Add 3 to both sides to keep the x's by themselves on one side

9 < 4 1/2x

Divide both sides by 4 1/2 to get x by itself

2 < x so x > 2

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Required

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