Question

PLEASE HELP

Which ordered pairs are solutions to the inequality
3y - 4x ≥ -6 ?


a. (-3,8)

b. (5,10)

c. (1, 2)

d. (-5, 2)

Answer 1

`(x,\ y)\\\text{Put the values of x and y to the inequality}\ 3y-4x\geq-6\\\\A.\ (-3,\ 8)\\3(8)-4(-3)\geq-6\\24+12\geq-6\\36\geq-6\qquad TRUE\\\\B.\ (5,\ 10)\\3(10)-4(5)\geq-6\\30-20\geq-6\\10\geq-6\qquad TRUE\\\\C.\ (1,\ 2)\\(3)(2)-(4)(1)\geq-6\\6-4\geq-6\\2\geq-6\qquad\ TRUE\\\\D.\ (-5,\ 2)\\(3)(2)-(4)(-5)\geq-6\\6+20\geq-6\\26\geq-6\qquad TRUE\\\\Answer:\ a,\ b,\ c\ and\ d\ are\ solutions\ of\ this\ inequality.`