diff --git a/doc/tutorial/basics/lists.md b/doc/tutorial/basics/lists.md
index f583308..dd1889f 100644
--- a/doc/tutorial/basics/lists.md
+++ b/doc/tutorial/basics/lists.md
@@ -10,7 +10,7 @@
 additional, possibly typed elements.
 
 In the example we define `IP` to be a list of `4` elements of type `uint8`, which
-is a predeclared value of `0..255`.
+is a predeclared value of `>=0 & <=255`.
 `PrivateIP` defines the IP ranges defined for private use.
 Note that as it is already defined to be an `IP`, the length of the list
 is already fixed at `4` and we do not have to specify a value for all elements.
@@ -25,7 +25,7 @@
 IP: 4 * [ uint8 ]
 
 PrivateIP: IP
-PrivateIP: [10, ...uint8] | [192, 168, ...] | [172, 16..32, ...]
+PrivateIP: [10, ...uint8] | [192, 168, ...] | [172, >=16 & <=32, ...]
 
 myIP: PrivateIP
 myIP: [10, 2, 3, 4]
@@ -36,11 +36,11 @@
 
 <!-- result -->
 ```
-IP: [0..255, 0..255, 0..255, 0..255]
+IP: [>=0 & <=255, >=0 & <=255, >=0 & <=255, >=0 & <=255]
 PrivateIP:
-    [10, 0..255, 0..255, 0..255] |
-    [192, 168, 0..255, 0..255] |
-    [172, 16..32, 0..255, 0..255]
+    [10, >=0 & <=255, >=0 & <=255, >=0 & <=255] |
+    [192, 168, >=0 & <=255, >=0 & <=255] |
+    [172, >=16 & <=32, >=0 & <=255, >=0 & <=255]
 
 myIP:   [10, 2, 3, 4]
 yourIP: _|_
diff --git a/doc/tutorial/basics/rangedef.md b/doc/tutorial/basics/rangedef.md
index 39da35b..7553558 100644
--- a/doc/tutorial/basics/rangedef.md
+++ b/doc/tutorial/basics/rangedef.md
@@ -11,19 +11,19 @@
 integers to common values.
 
 ```
-uint      0..int
-uint8     0..255
-int8      -128..127
-uint16    0..65536
-int16     -32_768...32_767
-rune      0..0x10FFFF
-uint32    0..4_294_967_296
-int32     -2_147_483_648..2_147_483_647
-uint64    0..18_446_744_073_709_551_615
-int64     -9_223_372_036_854_775_808..9_223_372_036_854_775_807
-int128    -170_141_183_460_469_231_731_687_303_715_884_105_728..
-              170_141_183_460_469_231_731_687_303_715_884_105_727
-uint128   0..340_282_366_920_938_463_463_374_607_431_768_211_455
+uint      >=0
+uint8     >=0 & <=255
+int8      >=-128 & <=127
+uint16    >=0 & <=65536
+int16     >=-32_768 & <=.32_767
+rune      >=0 & <=0x10FFFF
+uint32    >=0 & <=4_294_967_296
+int32     >=-2_147_483_648 & <=2_147_483_647
+uint64    >=0 & <=18_446_744_073_709_551_615
+int64     >=-9_223_372_036_854_775_808 & <=9_223_372_036_854_775_807
+int128    >=-170_141_183_460_469_231_731_687_303_715_884_105_728 &
+              <=170_141_183_460_469_231_731_687_303_715_884_105_727
+uint128   >=0 & <=340_282_366_920_938_463_463_374_607_431_768_211_455
 ```
 
 <!-- CUE editor -->
diff --git a/doc/tutorial/basics/ranges.md b/doc/tutorial/basics/ranges.md
index da50c1c..548845b 100644
--- a/doc/tutorial/basics/ranges.md
+++ b/doc/tutorial/basics/ranges.md
@@ -2,23 +2,22 @@
 
 _Types ~~and~~ are Values_
 
-# Ranges
+# Bounds
 
-Ranges define an inclusive range of valid values.
-They work on numbers, strings, and bytes.
+Bounds define a lower bound, upper bound, or inequality for a certain value.
+They work on numbers, strings, bytes, and and null.
 
-The type of a range is the unification of the types of the start and end
-value.
-
-Unifying two ranges results in the overlapping range or an error if there
-is no overlap.
+The bound is defined for all values for which the corresponding comparison
+operation is define.
+For instance `>5.0` allows all floating point values greater than `5.0`,
+whereas `<0` allows all negative numbers (int or float).
 
 <!-- CUE editor -->
 ```
-rn: 3..5       // type int | float
-ri: 3..5 & int // type int
-rf: 3..5.0     // type float
-rs: "a".."mo"
+rn: >=3 & <8        // type int | float
+ri: >=3 & <8 & int  // type int
+rf: >=3 & <=8.0     // type float
+rs: >="a" & <"mo"
 
 {
     a: rn & 3.5
@@ -27,7 +26,7 @@
     d: rs & "ma"
     e: rs & "mu"
 
-    r1: 0..7 & 3..10
+    r1: rn & >=5 & <10
 }
 ```
 
@@ -38,5 +37,5 @@
 c:  3.0
 d:  "ma"
 e:  _|_
-r1: 3..7
+r1: >=5 & <8
 ```