Step 1 :Solve the inequality: \(2x - 5 < x + 4\)
Step 2 :Subtract x from both sides: \(x - 5 < 4\)
Step 3 :Add 5 to both sides: \(x < 9\)
Step 4 :Check the given options:
Step 5 :A) \(x > 9\) is not true
Step 6 :B) \(2x < 18\) is true for \(x < 9\)
Step 7 :C) \(3x < 9\) is true for \(x < 3\), but not for all \(x < 9\)
Step 8 :D) \(x\) cannot be all real numbers
Step 9 :\(\boxed{\text{B) } 2x < 18\) is the correct option