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3 votes
7x - 2y ≤ 5?

a) No solution
b) Infinite solutions
c) One solution
d) Two solutions

User Rintaun
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1 Answer

6 votes

Final answer:

The equation 7x - 2y ≤ 5 represents a linear inequality. The graph of a linear inequality is a shaded region on a coordinate plane. In this case, the shaded region is a half-plane, indicating one solution.

Step-by-step explanation:

The equation 7x - 2y ≤ 5 represents a linear inequality. To determine the number of solutions, we need to examine its graph. The graph of a linear inequality is a shaded region on a coordinate plane.

If the shaded region is a line, it indicates infinite solutions.

If the shaded region is a half-plane, it indicates either one solution or no solution. In this case, since there is an inequality symbol (≤) and not an equality symbol, the shaded region is a half-plane. Therefore, the correct answer is c) One solution.

User Oowowaee
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