Question

ANSWER QUICKLY PLS!!
Solve for x, graph the solution on the numberline.

Answer 1

`\tt 5 > 2+\cfrac{x}{3}`

`\tt 2+\cfrac{x}{3} < 5`

(Subtract 2 from both sides):-

• 
  `\tt 2+\cfrac{x}{3}-2 < 5-2`

• 
  `\tt \cfrac{x}{3} < 3`

(Multiply both sides by 3):-

• 
  `\tt \cfrac{3x}{3} < 3* \:3`

• 
  `\boxed{\underline{\tt x < 9}}`

~

`\tt -4+\cfrac{x}{5} < -4`

(Add 4 to both sides):-

• 
  `\tt -4+\cfrac{x}{5}+4 < -4+4`

• 
  `\tt \cfrac{x}{5} < 0`

(Multiply both sides by 5):-

• 
  `\tt \cfrac{5x}{5} < 0* \:5`

• 
  `\boxed{\underline{\tt x < 0}}`

~

`\tt 13 > 3+2x`

(Subtract 3 from both sides):-

• 
  `\tt 3+2x-3 < 13-3`

• 
  `\tt 2x < 10`

(Divide both sides by 2):-

• 
  `\tt \cfrac{2x}{2} < \cfrac{10}{2}`

• 
  `\boxed{\underline{\tt x < 5}}`

~

`\tt -2x+4 < 10`

(Subtract 4 from both sides):-

• 
  `\tt -2x < 6`

(Multiply both sides both -1):-

• 
  `\tt -2x*-1 > 6 *-1`

• 
  `\tt 2x > -6`

(Divide both sides by 2):-

• 
  `\tt \cfrac{2x}{2} > \cfrac{-6}{2}`

• 
  `\boxed{\underline{\tt x > -3}}`

~

(Look at the Attachments)