NCERT Solutions for Chapter: Linear Inequalities, Exercise 1: EXERCISE

The water acidity in a pool is considered normal when the average $pH$ reading of three daily measurements is between $8.2$ and $8.5$. If the first two $pH$ readings are $8.48$ and $8.35,$ find the range of $pH$ value for the third reading that will result in the acidity level being normal.

The longest side of a triangle is twice the shortest side and the third side is $2 \mathrm{cm}$ Ionger than the shortest side. If the perimeter of the triangle is more than $166 \mathrm{cm}$, then find the minimum length of the shortest side(in cm).

If $-\frac{3}{4}x\le -3,$ then $x\ge$_____.

If $\frac{2}{x+2}>0,$ then $x$_____$-2$.

If $x>-5$ then $4x$_____$-20$.

If $x>y$ and $z<0$ then $-xz$_____$-yz$.

If $p>0$ and $q<0$ then $p-q$_____$p$.

If $-2x+1\ge 9,$ then $x\le$_____.