Question

Solve for x. 4(x+1)≤4x+3

Answer 1

4x + 4 < 4x + 3 (expand it)
4 < 3 (cancel 4x on both sides)
Since 4 < 3 is not true there is no solution.

Answer: NO SOLUTION.

Answer 2

There is no solution for x.

Explanation:

Consider the provided inequality.

`4(x+1)\leq 4x+3`

Distributive property:

`a(b+c)=ab+ac`

Use the distributive property to simplify the above inequality.

`4(x+1)\leq 4x+3`

`4x+4\leq 4x+3`

Subtract 4x from both the sides.

`-4x+4x+4\leq 4x-4x+3`

`4\leq 3`

Which is false, as 3 is neither greater or equal to 4.

Hence, there is no solution for x.