If 2(3x -4) - 2 < 4x -2 ≥ 2x - 4; then the value of x is

Question 87

Solution

Expression 1 : 2(3x -4) - 2 < 4x -2

=> $$6x-8-2$$ < $$4x-2$$

=> $$6x-4x$$ < $$-2+10$$

=> $$2x$$ < $$8$$

=> $$x$$ < $$4$$ ------------(i)

Expression 2 : 4x -2 ≥ 2x - 4

=> $$4x-2x \geq -4+2$$

=> $$2x \geq -2$$

=> $$x \geq -1$$ ------------(ii)

Combining inequalities (i) and (ii), we get : $$-1 \leq x$$ < $$4$$

The only value that $$x$$ can take among the given options = 2

=> Ans - (A)

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­ If 2(3x ­-4) -­ 2 < 4x -2 ≥ 2x ­- 4; then the value of x is