Determine which of the points is a solution of the inequality $\leq - 58$ .

A) (10,4)
B) (8,4)
C) (3,-4)
D) (-10,-4)
E) (-3,-1)

Question

Determine which of the points is a solution of the inequality   4 x + 5 y ≤ − 58 4 x + 5 y \leq - 58 4 x + 5 y ≤ − 58   .A)  (10,4)B)  (8,4)C)  (3,-4)D)  (-10,-4)E)  (-3,-1)

Stephanie Abernathy · Accepted Answer

Final Answer : D, Explanation :   To determine if a point is a solution to the inequality   4 x + 5 y ≤ − 58 4x + 5y \leq -58 4 x + 5 y ≤ − 58  , substitute the x and y values of each point into the inequality. For point D,   ( − 10 , − 4 ) (-10, -4) ( − 10 , − 4 )  , substituting gives   4 ( − 10 ) + 5 ( − 4 ) = − 40 − 20 = − 60 4(-10) + 5(-4) = -40 - 20 = -60 4 ( − 10 ) + 5 ( − 4 ) = − 40 − 20 = − 60  , which satisfies the inequality   − 60 ≤ − 58 -60 \leq -58 − 60 ≤ − 58  . None of the other points satisfy the inequality when substituted.

Determine which of the points is a solution of the inequality $\leq - 58$ .

A) (10,4)
B) (8,4)
C) (3,-4)
D) (-10,-4)
E) (-3,-1)

Definitions

Learning Objectives

Learning Objectives

Related questions

Determine which of the points is a solution of the inequality 4x+5y≤−584 x + 5 y \leq - 584x+5y≤−58 .A) (10,4) B) (8,4) C) (3,-4) D) (-10,-4) E) (-3,-1)

Definitions

Learning Objectives

Learning Objectives

Related questions

Determine which of the points is a solution of the inequality $\leq - 58$ .

A) (10,4)
B) (8,4)
C) (3,-4)
D) (-10,-4)
E) (-3,-1)