The value of x for the inequality equation 2x - 3 > 11 - 5x is 4 from the solutions given in the options. Since the solution set for the given inequality is {x > 2}.
How do solve the inequality equation?
To solve the inequality equation follow the steps shown below:
- Write the like terms aside.
- Add/Subtract the respective terms from both sides
- Multiply/Divide the coefficient of the variable from the both sides
- Simplify the fractions (if any)
- Form the solution set w.r.t the inequality symbol
Calculation:
The given inequality equation is
2x - 3 > 11 - 5x
Writing like terms aside
⇒ 2x + 5x > 11 + 3
Adding the like terms
⇒ 7x > 14
Dividing both sides by 7
⇒ 7x/7 > 14/7
∴ x > 2
Thus, the solution set is { x: x ∈ R, x > 2}
So, from the given options 4 > 2. Therefore, the solution for the variable x is 4.
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