Question

Does this inequality have a solution? 6(x+2)>x-3

Answer 1

x > - 3

Explanation:

6(x + 2) > x - 3 ← distribute parenthesis on left side

6x + 12 > x - 3 ( subtract x from both sides )

5x + 12 > - 3 ( subtract 12 from both sides )

5x > - 15 ( divide both sides by 5 )

x > - 3

Answer 2

`\textbf{Heya !}`

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`\bigstar\textsf{Given:-}`✏

• 
  `\sf{6(x+2) > x-3}`

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`\bigstar\textsf{To\quad find:-}` ✏

• x -- ?

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`\bigstar\textsf{Solution \quad Steps:-}` ✏

use the distributive property

`\sf{\longmapsto 6x+12 < x-3}`

subtract both sides by x and 12

`\sf{\longmapsto{5x < -15}`

divide both sides by 5

`\sf{\longmapsto x < -3}}`

`hope it's helpful to u ~