[2X-11]≤1 рЕШИТЕ НЕРАВЕНСТВО

Question

[2X-11]≤1 рЕШИТЕ НЕРАВЕНСТВО

Answer 1

I2x-11I ≤ 1
2x-11≥0
2x≥11
x≥5.5

2x-11≤1
2x≤12
x≤6

5.5≤x≤6

2x-11<0<br>2x<11<span>
x<5.5<br>
-2x+11≤1
11≤1+2x
10≤2x
x≥5

5≤x<5.5</strong>

5.5≤x≤6 U5≤x<5.5</span> ⇒⇒5 ≤ x ≤ 6

Ответ:5≤x≤6.