Q:

Which ordered pairs are solutions to the inequality y−2x≤−3?Select each correct answer.(1, −1)(7, 12)(−6, −3)(0, −2)(5, −3)

Accepted Solution

A:
Answer:(1,-1)(7,12)(5,-3)Step-by-step explanation:we know thatIf a ordered pair is a solution of the inequality, then the ordered pair must  satisfy the inequalitywe have[tex]y-2x \leq -3[/tex]Verify each casecase 1) we have (1,-1)substitute the value of x and the value of y in the inequality and then compare the results[tex]-1-2(1) \leq -3[/tex][tex]-3 \leq -3[/tex] ----> is truethereforeThe ordered pair is a solution of the inequalitycase 2) we have (7,12)substitute the value of x and the value of y in the inequality and then compare the results[tex]12-2(7) \leq -3[/tex][tex]-12 \leq -3[/tex] ----> is truethereforeThe ordered pair is a solution of the inequalitycase 3) we have (-6,-3)substitute the value of x and the value of y in the inequality and then compare the results[tex]-3-2(-6) \leq -3[/tex][tex]9 \leq -3[/tex] ----> is not truethereforeThe ordered pair is not a solution of the inequalitycase 4) we have (0,-2)substitute the value of x and the value of y in the inequality and then compare the results[tex]-2-2(0) \leq -3[/tex][tex]-2 \leq -3[/tex] ----> is not truethereforeThe ordered pair is not a solution of the inequalitycase 5) we have (5,-3)substitute the value of x and the value of y in the inequality and then compare the results[tex]-3-2(5) \leq -3[/tex][tex]-13 \leq -3[/tex] ----> is truethereforeThe ordered pair is a solution of the inequality