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

It is False.

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.