Question

This is due tomorrow, please help!!

Answer 1

x > -20/7

Explanation:

`(2x-4+5x)/(8) > -3`

multiply both sides by 8 to remove the denominator

2x-4+5x > -24

7x - 4 > -24

add 4 to both sides to isolate the variable and its coefficient

7x > -20

divide both sides by 7 to isolate x

x > -20/7

Answer 2

`\huge\text{Hey there!}`

`\mathsf{(2x - 4 + 5x)/(8) > -3}`

`\mathsf{= (7)/(8)x - (1)/(2) > -3}`

`\text{Add } \rm{(1)/(2)\text{ to both sides of the equation}`

`\mathsf{(7)/(8)x - (1)/(2) + (1)/(2) > -3 + (1)/(2)}`

`\text{Simplify it}`

`\mathsf{(7)/(8)x > -3 + (1)/(2)}`

`\mathsf{(7)/(8)x > - (5)/(2)}`

`\text{Multiply }\rm{(8)/(7)\text{ to both sides of the equation}`

`\mathsf{(8)/(7)*(7)/(8)x > (8)/(7) * - (5)/(2)}`

`\text{Simplify it}`

`\mathsf{x > (8)/(7)* -(5)/(2)}`

`\mathsf{x > (8* -5)/(7* 2)}`

`\mathsf{x > (-40)/(14)}`

`\mathsf{x > (-40/ 2)/(14/2)}`

`\mathsf{x > -(20)/(7)}`

`\mathsf{x > -2 (6)/(7)}`

`\huge\text{Therefore, your answer should be:}`

`\huge\boxed{\mathsf{x > -(20)/(7) \ or \ \mathsf{x > -2 (6)/(7)}}}\huge\checkmark`

`\textsf{It is an o.p.e.n circle shaded to the right}`

~
`\frak{Amphitrite1040:)}`