MEDIUM
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What is a replacement set?

Important Questions on Linear Inequations

MEDIUM

Solve the following inequation and represent the solution set on the number line.

3x5+2<x+4x2+5, xR

EASY
Solve  5-4x>2-3x,xW. Also represent its solution on the number line.
EASY

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

MEDIUM

Given x-1,-2,-3,-4,-5,-6 and 112-3x, find the solution set and represent it on the number line.

EASY

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

MEDIUM

List the elements of the solution set of the inequation -2<x-17-xxN.

HARD
Solve the linear inequation 3x-5<x+7, when x is a whole number.
EASY
If 25-4x16, find the smallest value of x, when x is a real number.
EASY

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

MEDIUM

Solve the inequality 7p-35p-2 for real p.

EASY

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

EASY

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

MEDIUM

If xZ, then the solution set of the inequation 3-x1-2x is

EASY

If 1,2,3,4,5,6,7,8,9,10 is the replacement set, then the solution set of the inequality x<4 is 1,2,3.

EASY
Solve the inequality 3x-11<3 where x1,2,3,...,10. Also represent its solution on a number line.
MEDIUM

List the elements of the solution set of the inequation -2<x-17-xxN.

EASY

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

HARD
Find the largest value of x for which 2(x-1)9-x and xW.
EASY
if  xI, find the smallest value of x which satisfies the inequality 2x+52>5x3+2.
MEDIUM

Given x-1,-2,-3,-4,-5,-6 and 112-3x, find the possible values of x. Also represent its solution set on the number line.