In the following question, two statements (i) and (ii) are given. Choose the valid statement. i. 4x + 1 $\leq$ x + 10 gives x $\geq$ 3. ii. 3x − 1 x gives x -$\frac{1}{2}$

Question

In the following question, two statements (i) and (ii) are given. Choose the valid statement. i. 4x + 1 $\leq$ x + 10 gives x $\geq$ 3. ii. 3x − 1 > x gives x > -$\frac{1}{2}$

KollegeApply · Accepted Answer

Neither (i) nor (ii) Explanation: Statement (i) 4x + 1 $\leq$ x + 10 $\Rightarrow$ 4x − x $\leq$ 10 − 1 $\Rightarrow$ 3x $\leq$ 9 $\Rightarrow$ x $\leq$ 3, not x $\geq$ 3 Statement (ii) 3x − 1 > x $\Rightarrow$ 3x − x > 1 $\Rightarrow$ 2x > 1 $\Rightarrow$ x > $\frac{1}{2}$, "not" x > −$\frac{1}{2}$

AChoose Your Answer