Answer: see below
<u>Step-by-step explanation:</u>
17) 5n - 3 > -2n + 4 and 9 - 4n ≥ -2n + 1
<u> +2n </u> <u> +2n </u> <u> +2n </u> <u>+2n </u>
7n - 3 > 4 9 - 2n ≥ 1
+3 +3 -9 -9
7n > 7 -2n ≥ -8
<u> ÷7 </u> <u> ÷7 </u> <u> ÷ -2 </u> ↓ <u> ÷ -2 </u>
n > 1 and n ≤ 4
Graph: o----------------- ·
1 4
18) 9k - 2 ≤ 9 + 10k < 9 - 4k
9k - 2 ≤ 9 + 10k and 9 + 10k < 9 - 4k
<u> -10k </u> <u> -10k </u> <u> +4k </u> <u> +4k </u>
-k - 2 ≤ 9 9 + 14k < 9
<u> +2</u> <u>+2 </u> <u> -9 </u> <u>-9 </u>
-k ≤ 11 14k < 0
<u> ÷ -1 </u> ↓<u> ÷ -1 </u> <u> ÷14 </u> <u>÷14 </u>
k ≥ -11 and k < 0
Graph: · -----------------o
-11 0
19) 4 - n ≤ 10 + 5n ≤ 6n + 1
4 - n ≤ 10 + 5n and 10 + 5n ≤ 6n + 1
<u> -5n </u> <u> -5n </u> <u> -6n </u> <u>-6n </u>
4 - 6n ≤ 10 10 - n ≤ 1
<u>-4 </u> <u> -4 </u> <u> -10 </u> <u> -10 </u>
-6n ≤ 6 -n ≤ -9
<u> ÷ -6 </u>↓ <u>÷ -6 </u> <u> ÷ -1 </u>↓<u> ÷ -1 </u>
n ≥ -1 and n ≥ 9
Graph: · -----------------→
-9
20) 4p - 5 ≤ 2p + 9 ≤ 4p + 7
4p - 5 ≤ 2p + 9 and 2p + 9 ≤ 4p + 7
<u> -2p </u> <u>-2p </u> <u> -4p </u> <u>-4p </u>
2p - 5 ≤ 9 -2p + 9 ≤ 7
<u> +5 </u> <u> +5 </u> <u> -9 </u> <u> -9 </u>
2p ≤ 14 -2p ≤ -2
<u> ÷ 2 </u> <u> ÷ 2 </u> <u>÷ -2 </u> ↓<u> ÷ -2 </u>
p ≤ 7 and p ≥ 1
Graph: · ----------------- ·
1 7
→ 
→ 
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![\sqrt{[49+16]}](https://tex.z-dn.net/?f=%5Csqrt%7B%5B49%2B16%5D%7D%20)
