Ans: (a) $x \ge 2$ (b) $8$
-
$\begin{array}{rcl}
\dfrac{7x + 26}{4} & \le & 2(3x – 1) \\
7x + 26 & \le & 24x – 8 \\
-17x & \le & -34 \\
x & \ge & 2
\end{array}$ -
$\begin{array}{rcl}
45 – 5x & \ge & 0 \\
-5x & \ge & -45 \\
x & \le & 9
\end{array}$Therefore, $x \ge 2$ and $x \le 9$.
Therefore, the overall solution is $2 \le x \ le 9$.
Hence, $2$, $3$, $4$, $5$, $6$, $7$, $8$ and $9$ satisfy the overall solution. There are $8$ integers.
