Question 71

If 2x+ 4(x - 3) < -2 - x < 2x - 1, then find the value of x.

Solution

Expression 1 : $$-2 - x < 2x - 1$$

=> $$2x + x$$ > $$1 - 2$$

=> $$x$$ > $$\frac{-1}{3}$$ ----------(i)

Expression 2 : $$2x + 4(x - 3) < -2 - x$$

=> $$6x - 12$$ < $$-2 - x$$

=> $$6x + x$$ < $$12 - 2$$

=> $$x$$ < $$\frac{10}{7}$$ ------(ii)

Combining inequalities (i) and (ii), we get : $$\frac{-1}{3}$$ < $$x$$ < $$\frac{10}{7}$$

Thus, only value that $$x$$ can take among the options = 1

=> Ans - (B)

Create a FREE account and get:

Free SSC Study Material - 18000 Questions
230+ SSC previous papers with solutions PDF
100+ SSC Online Tests for Free

CAT Quant Questions | CAT Quantitative Ability

CAT Mensuration Questions CAT Averages Questions CAT Linear Equations Questions CAT Venn Diagrams Questions CAT Percentages Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Quant Based DI Questions CAT Arrangement Questions CAT Data Interpretation Basics Questions CAT Quant Based LR Questions CAT Puzzles Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Miscellaneous Questions CAT Verbal Ability Questions CAT Para Jumbles Questions CAT Odd One Out Questions CAT Para Summary Questions

Follow us on

Boost your Prep!

Download App