HELP!!! ARE THESE CORRECT?
Question 2.2. State a conjunction or disjunction equivalent to the open sentence. 8 – 2|n + 5| ≥ 4 (Points : 1) n + 5 ≥ 2 and n + 5 ≤ –2 n > –3 or n < –7 n + 5 ≤ 2 and n + 5 ≥ –2 n < –3 or n > –7 Question 3.3. Solve the equation. |k + 9| = 4 (Points : 1) {–13, –5} {–5, 5} {–5, 13} {all real numbers greater than or equal to –13 and less than or equal to –5} Question 4.4. Solve the inequality. 4 + |t + 2| < 11 (Points : 1) t < 5 and t > 9 t > 5 or t < –9 –5 < t < 9 –9 < t < 5
2. A 3.B 4.A THESE ARE THE ANSWERS I CHOSE
I think you are not correct. Let me solve 2
Ok thanks
\[8-2\left| n+5 \right|\ge 4\] \[-2\left| n+5 \right|\ge4-8\] \[\left| n+5 \right|\le \frac{ -4 }{-2 },\left| n+5 \right|\le2,-2\le n+5 \le2\]
so number to is C?
yes
what about the other two?
\[3.\left| k+9 \right|=4\] \[k+9=\pm4\] can you solve it?
i really dont understand how to solve it. is there a formula?
k+9=4 k=4-9=-5 and k+9=-4 k=-4-9=-13 solution set is {-13,-5}
\[4+\left| t+2 \right|<11,\left| t+2 \right|<11-4,\left| t+2 \right|<7\] -7<t+2<7 -7-2<t+2-2<7-2 -9<t<5
thanks
\[If \left| x+a \right|\le b,then-b \le x+a \le b or x+a lies between -b and b\] \[If \left| x+a \right|\ge b,\] \[then x+a \le -b and x+a \ge b\] orx+a does not lie between -b and b
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