Solve this inequality. Express the solution in set-builder notation: 7(x - 2) + 16 < 3(2 + 3x). Graph your solution on the number line. Be sure to do your solution check.
2006-10-02 18:38:43 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
7(x - 2) + 16 < 3(2 + 3x) → 7x – 14 + 16 < 6 + 9x → 7x + 2 < 6 + 9x → 2x > (-4) → x > (-2)
2006-10-02 22:16:11 · answer #1 · answered by Arash 3 · 0⤊ 0⤋
7(x-2) +16 < 3(2+3x)
7x - 14 +16 < 6 + 9x
7x + 2 < 6 + 9x
-4 < 2x
-2 < x or x > -2
Your number line should start at -2 and proceed to the right going through -1, 0,1, 2, 3 , 4, 5 ..................... to infinity.
Do not put a dot on -2 as this would indicate that x = -2. It does not. It is greater than -2.
2006-10-02 19:18:19 · answer #2 · answered by ironduke8159 7 · 0⤊ 0⤋
x<-2, <_____*--------------------------->
-3 -2 -1 0 1 2 3
the star should be above the -2, color the line from the -2 to -3.
2006-10-02 18:49:57 · answer #3 · answered by ? 3 · 0⤊ 1⤋