Question

`2x+5\ \textless \ (x+1)/(4)`

Answer 1

`\red{x < ( - 19)/(7) }`

Explanation:

`2x + 5 < (x + 1)/(4) \\ \text{use \: cross \: muliplication} \\ 4(2x + 5) < x + 1 \\ 8x + 20 < x + 1 \\ 8x - x < - 20 + 1 \\ 7x < - 19 \\ (7x)/(7) < ( - 19)/(7) \\ x < ( - 19)/(7)`

Answer 2

x < -19/7

Explanation:

Solve for x

2x+5 < (x+1)/4

Multiply each side by 4

4( 2x+5) < (x+1)/4 *4

8x + 20 < x+1

Subtract x from each side

8x+20-x < x+1-x

7x + 20 < 1

Subtract 20 from each side

7x+20-20 < 1-20

7x< -19

Divide by 7

7x/7 < -19/7

x < -19/7