Question
Which of the following consists of the y-coordinates of all the points that satisfy the system of inequalities above?
- y > 6
- y > 4
Hint:
If we perform algebraic manipulations in inequalities, keeping the sign of the inequality same, then the order of inequality remains same.
For example, suppose a > b, where a, b > 0. Then if we add a constant c > 0, with both sides of the inequality then, a + c > b + c, the order of the inequality remains same.
The correct answer is: y > 4
Step 1 of 2:
Given, y > 2x-1…(i) and 2x > 5.
Now, 2x > 5
Step 2 of 2:
Putting (> 0), in inequality (i), we get
Y > 2 × -1
⇒ y > 5 -1
⇒y > 4
Final Answer:
The right choice is— B) y > 4.
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