Try to follow my steps:
1). Copy the problem:
2w - 3 > 14
2). Add 3 to each side:
2w > 17
3). Divide each side by 2 :
w > 8.5
14\ \ \ \ /+3\\\\2w > 17\ \ \ \ /:2\\\\w > 8.5\\\\w\in(8.5;\ \infty)"> 2 w − 3 > 14 / + 3 2 w > 17 / : 2 w > 8.5 w ∈ ( 8.5 ; ∞ )
To solve the inequality 14"> 2 w − 3 > 14 , first add 3 to both sides to get 17"> 2 w > 17 . Then, divide each side by 2 to find 8.5"> w > 8.5 . Any value of w greater than 8.5 will satisfy this inequality.
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