Solve the inequality for x. 6 − 5x ≥ 21 a) x ≥ −3 b) x > −3 c) x ≤ −3 d) x ≥ 3

The solution for given inequality 6 − 5x ≥ 21 is x ≤ -3 and correct option is C

Solution:

Given inequality is 6 − 5x ≥ 21. We need to solve the inequality for "x"

An inequality is a mathematical sentence that uses symbols such as greater than or equal to, less than or equal to or less than or greater than to compare two quantities

On subtracting each side from -6, we get

6 – 5x - 6 ≥ 21 - 6

-5x ≥ 15  

On dividing both the sides by 5 we get

-1x ≥ 3

On multiplying both sides by -1 (operator will be reversed )

x ≤ -3

Hence correct solution of given inequality is x ≤ -3

2160ft3

step-by-step explanation:

this is a direct variation proportion. y = kx

y is the total amount due, k is the constant of variation, and x is the number of texts sent.

plug in the 3.20 and the 16 to solve for the "k". this is the constant of proportionality. it is the value that will not change.

3.20 = k(16). solving you get $.20 per text.

the equation would then be y = .20x