Work Step by Step
We are asked to solve $x-7\lt2$ and $2x+1\lt9$. Therefore, any solution of x must satisfy both inequalities. First, we can solve $x-7\lt2$ Add 7 to both sides. $x\lt9$ Next, we can solve $2x+1\lt9$ Subtract 1 from both sides. $2x\lt8$ Divide both sides of the equation by 2. $x\lt4$ Therefore, x is the set of numbers less than 4.