Question

my dudes could you help me cause im really bad at math heres the problem choose all the values that make the inequality true. 28-7x ≤ -4(-7x - 7) the options : -10 -5 0 5 10

Answer 1

0, 5, 10

Explanation:

You can solve the inequality to determine what values to select.

28 -7x ≤ -4(-7x -7) . . . . . . given

28 -7x ≤ 28x +28 . . . . . . eliminate parentheses*

-7x ≤ 28x . . . . . . . . . . . . . subtract 28 from both sides

0 ≤ 35x . . . . . . . . . . . . . . add 7x to both sides

0 ≤ x . . . . . . . . . . . . . . . . . divide by 35

So, all values that are 0 or greater will make the inequality true:

0, 5, 10

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* Parentheses are eliminated using the distributive property. The factor outside parentheses multiplies each of the terms inside. Pay attention to signs.

-4(-7x -7) = (-4)(-7x) +(-4)(-7) = 28x +28