Solve -4 < 2x + 6 <= 3x - 1 .

Question

<= is the ≤

Answer 1

Solve -4 < 2x + 6 ≤3x - 1 

 

You can break this down into two inequalities and solve each one, and then accept answers consistent with BOTH.

 

-4 < 2x +6

-10 < 2x

x > -5     SOLUTION PART ONE.

 

2x+6 ≤3x - 1 

6 ≤ x - 1

7  ≤ x   SOLUTION PART TWO.

 

For both of these parts to be true (Intersection), the answer is x ≥ 7 so the solution

is, in Interval Notation, [7,infinity)

 

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