Write the following in interval notation: −
1
≤
13
x
−
11
<
7

10/13 ≤ x < 18/13

Step-by-step explanation:

-1 ≤ 13x - 11 < 7

If a ≤ u < b then a ≤ u and u < b

⇒ -1 ≤ 13x - 11  and  13x - 11 < 7

-1 ≤ 13x - 11

Add 11 to both sides:  10 ≤ 13x

Divide both sides by 13:  10/13 ≤ x

13x - 11 < 7

Add 11 to both sides:  13x < 18

Divide both sides by 13:  x < 18/13

Combine the intervals

10/13 ≤ x < 18/13