Respuesta :

CHERLYNnotCHERRY

Answer:

It is False.

Step-by-step explanation:

When you substitute the coordinates into the inequality equation :

[tex]y \geqslant 10x + 5[/tex]

[tex]let \: x = 5,y = 10[/tex]

[tex]10 \geqslant 10(5) + 5[/tex]

[tex]10 \geqslant 55 \: (false)[/tex]

Therefore, 10 isn't greater than 55.

Solution:-

  • (x,y)=(5,10)

[tex]\qquad\quad {:}\longmapsto\sf x=5 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf y=10 [/tex]

  • Write the inequality equation

[tex]\qquad\quad {:}\longmapsto\sf y \geqslant 10x+5[/tex]

  • Substitute the values

[tex]\qquad\quad {:}\longmapsto\sf 10 \geqslant 10 (5)+5 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf 10 \geqslant 50+5 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf 10 \lt 55 [/tex]

[tex]\therefore \sf y \geqslant 10x+5 {\boxed {False}}[/tex]

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