171k views
4 votes
Please help! i dont understand

Please help! i dont understand-example-1
Please help! i dont understand-example-1
Please help! i dont understand-example-2
User Starla
by
8.0k points

1 Answer

4 votes

QUESTION 1

The given inequality is


y\leq x-3 and
y\geq -x-2.

If (3,-2) is a solution; then it must satisfy both inequalities.

We put x=3 and y=-2 in to both inequalities.


-2\leq 3-3 and
-2\geq -3-2.


-2\leq 0:True and
-2\geq -5:True

Both inequalities are satisfied, hence (3,-2) is a solution to the given system of inequality.

QUESTION 2

The given inequality is


y\:>\:-3x+3 and
y\:>\: x+2.

If (1,4) is a solution; then it must satisfy both inequalities.

We put x=1 and y=4 in to both inequalities.


4\:>\:-3(1)+3 and
4\:>\: 1+2.


4\:>\:0:True and
4\:>\: 3:True

Both inequalities are satisfied, hence (1,4) is a solution to the given system of inequality.

Ans: True

QUESTION 3

The given inequality is


y\leq 3x-6 and
y\:>\: -4x+2.

If (0,-2) is a solution; then it must satisfy both inequalities.

We put x=0 and y=-2 in to both inequalities.


-2\leq 3(0)-6 and
-2\:>\: -4(0)+2.


-2\leq -6:False and
-2\:>\:2:False

Both inequalities are not satisfied, hence (0,-2) is a solution to the given system of inequality.

Ans:False

QUESTION 4

The given inequality is


2x-y\:<\: 4 and
x+y\:>\:-1.

If (0,3) is a solution; then it must satisfy both inequalities.

We put x=0 and y=3 in to both inequalities.


2(0)-3\:<\: 4 and
0+3\:>\:-1.


-3\:<\: 4:True and
3\:>\:-1: True

Both inequalities are satisfied, hence (0,3) is a solution to the given system of inequality.

Ans:True

QUESTION 5

The given system of inequality is


y\:>\:2x-3 and
y\:<\:x+6.

If (-3,0) is a solution; then it must satisfy both inequalities.

We put x=-3 and y=0 in to both inequalities.


0\:>\:2(-3)-3 and
0\:<\:-3+6.


0\:>\:-9;True and
0\:<\:3:True

Both inequalities are satisfied, hence (-3,0) is a solution to the given system of inequality.

Ans:True

User Thomas Arbona
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories