Replacement Set and Solution Set

Solve $2\left(x-3\right)<1$, $x\in \left\{1, 2, 3, ....., 10\right\}$

$\frac{3}{5}x-\frac{2}{3}\left(x-2\right) > 1$, where $x\in \left\{2, 4, 6, 8, 10\right\}$

If the replacement set is the set of integers, (I or Z), between $-6$ and $8$, find the solution set of $15–3d>d-3$

If the replacement set is the set of whole numbers (W), find the solution set of $4z–2<2z+10$.

What is a replacement set?

A _____ set is the set of values which satisfy a given inequality. (replacement/ solution/ null / singleton)

The set from which values of the variable are chosen is called the_____set. (replacement/ solution/ null / singleton)

If $\left\{-1,-2,-3,-4,-5,-6,-7,-8,-9,-10\right\}$ is the replacement set, then the solution set of the inequality $x<-6$ is $\left\{-1,-2,-3,-4,-5\right\}$.

Given $x\in \left\{-1,-2,-3,-4,-5,-6\right\}$ and $11\le 2-3x$, find the solution set and represent it on the number line.

Solve the inequality $7\left(p-3\right)\ge 5\left(p-2\right)$ for real $p$.

Write the solution of the inequation $3y-6\le 2y-1$ in the set notation form.

If $\left\{1,2,3,4,5,6,7,8,9,10\right\}$ is the replacement set, then the solution set of the inequality $x<4$ is $\left\{1,2,3\right\}$.

List the elements of the solution set of the inequation $-2<x-1\le 7-x$, $x\in \mathrm{N}$.

If $\left\{15,16,17,18,19,20,21,22,23,24,25\right\}$ is the replacement set, then find the solution set of the inequality $x>18$.

Given $x\in \left\{-1,-2,-3,-4,-5,-6\right\}$ and $11\le 2-3x$, find the possible values of $x$. Also represent its solution set on the number line.

If $\left\{1,2,3,4,5,6,7,8,9,10\right\}$ is the replacement set, then find the solution set of the inequality $x<4$.

If $x\in \mathrm{Z}$, then the solution set of the inequation $3-x\le 1-2x$ is

List the elements of the solution set of the inequation $-2<x-1\le 7-x$, $x\in \mathrm{N}$.

If $\left\{15,16,17,18,19,20,21,22,23,24,25\right\}$ is the replacement set, then find the solution set of the inequality $x>18$.