Problem

6. If $2 x-59$ B) $2 x<18$ C) $3 x<9$ D) $x$ can be all real numbers

Solution

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

From Solvely APP
Source: https://solvelyapp.com/problems/21968/

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