Question
Which o inequantes ygt -3x+3 ygeqslant 2x-2 (1,0) (-1,1) (2,2) (0,3)
Solution
4.2
(123 Votes)
Daniel
Professional ยท Tutor for 6 years
Answer
###
Explanation
## Step 1: Analyze the first inequality
### Substitute each ordered pair into the inequality
and check if it holds true.- For
: Substitute
and
.
This is **false**. - For
: Substitute
and
.
This is **false**. - For
: Substitute
and
.
This is **true**. - For
: Substitute
and
.
This is **false**.### Only
satisfies the first inequality.## Step 2: Analyze the second inequality
### Substitute each ordered pair into the inequality
and check if it holds true.- For
: Substitute
and
.
This is **true**. - For
: Substitute
and
.
This is **true**. - For
: Substitute
and
.
This is **true**. - For
: Substitute
and
.
This is **true**.### The pairs
,
,
, and
satisfy the second inequality.## Step 3: Identify the ordered pairs that satisfy both inequalities### Combine results from Steps 1 and 2:-
: Fails the first inequality. -
: Fails the first inequality. -
: Satisfies both inequalities. -
: Fails the first inequality.### Only
satisfies both inequalities.