Question

Does (5, 10)make the inequality y ≥ 10x+5 true

Answer 1

Solution:-

• (x,y)=(5,10)

$\qquad\quad {:}\longmapsto\sf x=5$

$\qquad\quad {:}\longmapsto\sf y=10$

• Write the inequality equation

$\qquad\quad {:}\longmapsto\sf y \geqslant 10x+5$

• Substitute the values

$\qquad\quad {:}\longmapsto\sf 10 \geqslant 10 (5)+5$

$\qquad\quad {:}\longmapsto\sf 10 \geqslant 50+5$

$\qquad\quad {:}\longmapsto\sf 10 \lt 55$

$\therefore \sf y \geqslant 10x+5 {\boxed {False}}$

Answer 2

Answer:

It is False.

Step-by-step explanation:

When you substitute the coordinates into the inequality equation :

$y \geqslant 10x + 5$

$let \: x = 5,y = 10$

$10 \geqslant 10(5) + 5$

$10 \geqslant 55 \: (false)$

Therefore, 10 isn't greater than 55.