Question

solve the inequality -3<=4-7x/2<=18

Pls pls give accurate answer

Answer 1

Answer:

-4 ≤ x ≤ 2

Step-by-step explanation:

     -3  ≤  4 - 7x/2  ≤  18

⇒  -7  ≤  -7x/2  ≤  14         [ subtracting 4 throughout ]

⇒  -1  ≤  -x/2  ≤  2             [ dividing through by 7 ]

⇒  -2  ≤  -x  ≤  4               [ multiplying through by 2 ]

⇒   2  ≥  x  ≥  -4               [ multiplying through by -1... remember that inequalities change direction when multiplying or dividing by a negative value! ]

⇒  -4  ≤  x  ≤  2                [ just reversed everything to make it look more natural, going from lowest to highest ]

Hope this helps!