Question

solve the following inequality.
$2x + 3 < x + x - 1$
all real numbers
no solutions

Explanation:

Step1: Simplify right-hand side

$x + x - 1 = 2x - 1$

Step2: Substitute back into inequality

$2x + 3 < 2x - 1$

Step3: Subtract $2x$ from both sides

$2x + 3 - 2x < 2x - 1 - 2x$
$3 < -1$

Step4: Evaluate the resulting statement

The statement $3 < -1$ is false, so there are no values of $x$ that satisfy the original inequality.

Answer:

No solutions