The inequality that represents the solution of -2(3x + 6) ≥ 4(x + 7) is x ≤ -4, the correct option is B.
What is an Inequality?
An inequality is a statement that is formed when two expressions are joined using an inequality operator.
The inequality is -2(3x + 6) ≥ 4(x + 7)
To find the solutions, the inequality has to be simplified.
Solving the inequality by using Distributive Property,
-6x -12 ≥ 4x +28
Adding (+12) on both sides of the inequality
-6x ≥ 4x +28 +12
Adding (-4x) on both the sides of the inequality
-6x + (-4x) ≥ 40
-10x ≥ 40
Dividing 10 on both the sides
-x ≥ 4
Reversing the sign of the inequality to remove the negative sign of x
x ≤ -4
To know more about Inequality
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