The inequality will be satisfied for all real number values of x
Work Step by Step
We are given that $2(x+3)\gt2x+1$ We can solve for x by using the distributive property to simplify the left side. $2x+6\gt2x+1$ Subtract 1 from both sides. $2x+5\gt2x$ Subtract 2x from both sides. $5\gt0$ This is true for all values of x, so the inequality is satisfied for all real numbers.