Question

Which value of x will make the inequality true?

X - 4 >-2

A)-4

B)-1

C)0

D)5

Answer 1

`\boxed{D)\:5}` ✔

`\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}`

`\sf\purple{A)\:-4}` ❌

`x - 4 < - 2 \\ = - 4 - 4 < - 2 \\ = - 8 < - 2`

`\sf\purple{B)\:-1}` ❌

`x - 4 < - 2 \\ = - 1 - 4 < - 2 \\ = - 5 < - 2`

`\sf\purple{C)\:0}` ❌

`x - 4 < - 2 \\ = 0 - 4 < - 2 \\ = - 4 < - 2`

`\sf\red{D)\:5}` ✅

`x - 4 > - 2 \\ = 5 - 4 > - 2 \\ = 1 > - 2`

`\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘`