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Find the smallest possible integer value of \(m\) that satisfies \(\dfrac{3}{7}m+4>1\).

Find the greatest prime number that satisfies the inequality \(18-4x>-61\).

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Sec 2 E Math Linear Inequalities Q07 - Extreme integer and prime solutions

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<p>Given that</p>
<p>\(\xi = \{2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12\}\),</p>
<p>\(R = \{x : x \text{ is a factor of}\hspace{0.5em} 4\}\) and</p>
<p>\(S = \{x : 5x - 1 &gt; 34\}\).</p>
<ol class="abc-list"><li data-list-item-id="item-a" data-list-item-path="item-a"><div class="list-item-paragraph">List the elements in</div><ol class="i-list"><li data-list-item-id="item-a-i" data-list-item-path="item-a/item-a-i"><div class="list-item-paragraph">\(S\),</div></li><li data-list-item-id="item-a-ii" data-list-item-path="item-a/item-a-ii"><div class="list-item-paragraph">\(R' \cap S\)</div></li></ol></li><li data-list-item-id="item-b" data-list-item-path="item-b"><div class="list-item-paragraph">Write down \(n(R \cap S)\).</div></li></ol>
<p>All sets in this question are subsets of the stated universal set&nbsp;\(\xi\); every set-builder variable is restricted to that universe.</p>

\(\xi = \{2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12\}\),

\(R = \{x : x \text{ is a factor of } 4\}\) and

All sets in this question are subsets of the stated universal set \(\xi\); every set-builder variable is restricted to that universe.

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