What is the solution set to the inequality –3x + 5.9 ≥ –15.4 for x in the set {–10, –5, 0, 5, 10}?

–3x + 5.9 ≥ –15.4

subtract 5.9 from each side

-3x >= -21.3

divide by -3  which causes the inequality to flip

x <= 7.1

-10,-5,0,5

{-10, -5, 0, 5}

Step-by-step explanation:

We have to find the solution set of the given inequality

-3x + 5.9 ≥ -15.4 for x in the given set {-10, -5, 0 , 5 , 10}

-3x + 5.9 ≥ - 15.4

-3x + 5.9 - 5.9 ≥ - 15.4 - 5.9

-3x ≥ -21.3

3x ≤ 21.3

≤

= x ≤ 7.1

So solution set of x will be {-10, -5, 0, 5}

step-by-step explanation:

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb