What value of x is in solution set of 3(x - 4) ≥ 5x + 2? 
-10, -5, 5, 1

Solution:

Solve the system of linear equations using the following steps:

Step 1: First solve the bracket.

⇒ 3x - 12 ≥ 5x + 2

Step 2: Add 12 on both sides.

⇒ 3x - 12 + 12 ≥ 5x + 2 + 12

⇒ 3x ≥ 5x + 14

Step 3: Subtract 5x from both sides.

⇒ 3x - 5x ≥ 5x + 14 - 5x

⇒ - 2x ≥ 14

Step 4: Divide both sides by 2

⇒ - 2x / 2 ≥ 14/ 2

⇒ - x ≥ 7

⇒ x ≤ -7

From the options, the value of x is -10 which satisfies the  x < -7

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What value of x is in solution set of 3(x - 4) ≥ 5x + 2?

Summary:

The value of x in the solution set of 3(x - 4) ≥ 5x + 2 is -7. From the options, the value of x is -10 which satisfies the  x < -7