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Stella [2.4K]
2 years ago
14

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

Mathematics
2 answers:
Ray Of Light [21]2 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]2 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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