The values of [tex]w[/tex] that make the inequality [tex]-w\ge7[/tex] true are
[tex]\{... ,-11,-10,-9,-8,-7\}[/tex]. An equivalent inequality, in terms of [tex]w[/tex], is [tex]w\le-7[/tex]
To get the values that make the inequality true, we have to solve the inequality for [tex]w[/tex]. This will also give an equivalent inequality in terms of [tex]w[/tex]
[tex]-w\ge7\\\\\implies \dfrac{-w}{-1}\le\dfrac{7}{-1}\\\\w\le-7[/tex]
the solution set is the set of values [tex]\{... ,-11,-10,-9,-8,-7\}[/tex]. In other words, [tex]w[/tex] can take up values less or equal to [tex]-7[/tex] to make the inequality [tex]-w\ge7[/tex] true
Also, the inequality equivalent to [tex]-w\ge7[/tex] is [tex]w\le-7[/tex]
Learn more about solving inequalities here https://brainly.com/question/12306534
