Question

Solve for $x$ : $5-x<6$

• A. $x>-1$
• B. $x<-1$
• C. $x>1$

Answer 1

The correct option is A $x>-1$

Method 1:

$5-x<6$
Step 1: Subtract both side of the inequality by $5$

$5-x<6-5=-5-x<1$

Step 2: Multiply both side of the inequality by $-1$.

$-x<1$
$\Rightarrow (-1)\times (-x)>(-1)\times 1$
$\Rightarrow x>-1$

Method 2:

Step 1: Add $x$ to both side of the inequality.

$5-x<6+x=+x5<6+x$

Step 2: To shift constants in left side and unknown in right side of the inequality, subtract $6$ from both the side.

$5<6+x-6=-6-1<x$

Rearranging the terms we get,
$-1<x$
$\Rightarrow x>-1$