The range of x which satisfy the inequation : -5 2-3 x 4 9 is

Step-by-step solution

Given the inequality -5 2-3x 4 9 . Multiply all parts by 4 to eliminate the denominator: -20 2-3x 36 . Subtract 2 from all parts: -22 -3x 34 . Divide by -3 and reverse the inequality signs: -22 -3 x 34 -3 . Rearranging the terms gives: - 34 3 x 22 3 . Thus, the range of x is [- 34 3 , 22 3 ] . Answer: [- 34 3 , 22 3 ]