Question

The solutions to the inequality y ≤ −x + 1 are shaded on the graph. Which point is a solution?

(2, 3)
(3, –2)
(2, 1)
(–1, 3)

Answer 1

Answer:

Step-by-step explanation:

(3 , - 2) is a solution since

- 2 = - 3 + 1

Answer 2

The correct option is B.

Step-by-step explanation:

The given inequality is

$y\leq -x+1$

We need to find the point which is a solution.

A point is a solution of given inequality if it satisfy the inequality.

Check for (2,3),

$3\leq -2+1\Rightarrow 3\leq -1$         (False)

Check for (3,-2),

$-2\leq -3+1\Rightarrow -2\leq -2$         (True)

Check for (2,1),

$1\leq -2+1\Rightarrow 1\leq -1$         (False)

Check for (-1,3),

$3\leq -(-1)+1\Rightarrow 3\leq 2$         (False)

Only point (3,-2) satisfy the given inequality.

Therefore, the correct option is B.

#Learn more

Which of these ordered pairs is a solution to the inequality 2x + y > – 4? (–1, –1) (0, –5) (4, –12) (–3, 0).

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