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

Answer:

There is no solution for x.

Step-by-step 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.