Respuesta :

[tex]15 \geq -3x\quad|:(-3)\qquad\vee\qquad \dfrac{2}{5}x \geq -2\quad|\cdot5\\\\\\ -5 \leq x\qquad\vee\qquad 2x \geq -10\quad|:2\\\\\\ -5 \leq x\qquad\vee\qquad x \geq -5\\\\\\x\geq -5\qquad\implies\qquad\boxed{\{x | x \geq -5\}}[/tex]

Answer B.

The solution to the system of equation is {x | x ≥ -5}

Given the systems of inequalities;

15 ≥ -3x

2/5x ≥ -2.

For the inequality 15 ≥ -3x

Swap

-3x ≤ 15

Divide both sides by -3

-3x/-3 ≥ 15/-3

x ≥ - 5

For the inequality 2/5x ≥ -2

2x ≥ -2 * 5

2x≥ -10

x≥ -10/2

x ≥ -5

Hence the solution to the system of equation is {x | x ≥ -5}

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