Question

Solve for x: −2x + 5 < 7
x > −1
x < −1
x > −6
x < −6

Answer 1

Explanation:

-2x+5<7

by subtracting 5 from both sides, we get

-2x+5-5<7-5

-2x<2

After dividing both sides by -2, the comparing sign changes and we get

-2x/-2>2/-2

x>-1

Hence, first option is correct.

Answer 2

`\\ \sf\longmapsto -2x+5\lt 7`

`\\ \sf\longmapsto -2x\lt 7-5`

`\\ \sf\longmapsto -2x\lt 2`

`\\ \sf\longmapsto x\lt (2)/(-2)`

`\\ \sf\longmapsto x\lt -1`