diff --git a/doc/reference/simple-scripts.md b/doc/reference/simple-scripts.md
index 0e230155697..1f08cc548ba 100644
--- a/doc/reference/simple-scripts.md
+++ b/doc/reference/simple-scripts.md
@@ -281,25 +281,26 @@ NB: If you specify `"type": "any"` this will allow you to spend from your script
 
 ## Bounds
 
-It is important to understand the bounds on a transaction and how they relate to the time locking scripts. Previously we had a `ttl` argument in the cli which was an upper bound on a transaction i.e the transaction was valid up until that slot number. This has been replaced with `--lower-bound` and `--upper-bound` arguments as described below:
+It is important to understand the bounds on a transaction and how they relate to the time locking scripts. Previously we had a `ttl` argument in the cli which was an upper bound on a transaction i.e the transaction was valid up until that slot number. This has been replaced with `--invalid-before` and `--invalid-hereafter` arguments as described below:
 
 ```
-If you specify a lower bound on a transaction it is valid from the lower-bound:
-  lower bound           +infinity
-       |------------------->
-If you specify an upper bound on a transaction it is valid to upperbound - 1:
-  -infinity           upper bound - 1
-       <-------------------|
-If you specify both bounds the tx is valid from the lower bound to the upperbound - 1
-  lower bound         upper bound - 1
-       <------------------->
+If you specify a lower bound on a transaction it is valid from the invalid-before slot (IBS):
+
+      [IBS, +infinity)
+
+If you specify an upper bound on a transaction it is valid to invalid-hereafter slot - 1 (IHS - 1):
+
+      (-infinity, IHS)
+
+If you specify both bounds the tx is valid from the IBS to the IHS - 1
+      [IBS, IHS)
 ```
 Whichever bound you specify, the slot number in which you submit your transaction has to be within that bound. For example
-if you submit your transaction in slot 500 and you specify a lower bound of 600 then your transaction will be rejected.
+if you submit your transaction in slot 500 and you specify a `--invalid-before` slot of 600 then your transaction will be rejected.
 
-This also applies to time locking scripts. If you specify a time lock script with `after: 1000` you must specify a lower bound of at least 1000 and therefore also submit that transaction in or after slot 1000.
+This also applies to time locking scripts. If you specify a time lock script with `after: 1000` you must specify a `--invalid-before` of at least 1000 and therefore also submit that transaction in or after slot 1000.
 
-Conversely, if you specify a time lock script with `before: 500` you must specify an upper bound of at most 500 and submit the transaction before slot 500. NB: `before: 500` means the transaction is expired in slot 500.
+Conversely, if you specify a time lock script with `before: 500` you must specify an `--invalid-hereafter` slot of at most 500 and submit the transaction before slot 500. NB: `before: 500` means the transaction is expired in slot 500.
 
 Once you have generated your time locked script you need to follow all the same steps above for a multisignature script with a slight modification of [step 1](#Step-1---construct-the-tx-body) which needs to be amended as follows:
 
@@ -322,12 +323,12 @@ Examples of the time locking scripts are:
     "type": "all"
 }
 ```
-For `after` scripts we must provide a lower bound that is greater than or equal to the specified slot number in our simple script. In the example above this means >= 1000.
+For `after` scripts we must provide a `--invalid-before` slot that is greater than or equal to the specified slot number in our simple script. In the example above this means >= 1000.
 
 ```bash
 cardano-cli shelley transaction build-raw \
     --ttl 1000 \
-    --lower-bound 1000\
+    --invalid-before 1000\
     --fee 0 \
     --tx-in (txin of script address)
     --tx-out yourspecifiedtxout \
@@ -352,12 +353,12 @@ cardano-cli shelley transaction build-raw \
 }
 ```
 
-For before scripts we must provide an upper bound that is less than or equal to the specified slot number in our simple script. In the example above this means <= 3000:
+For before scripts we must provide a `--invalid-hereafter` slot that is less than or equal to the specified slot number in our simple script. In the example above this means <= 3000:
 
 ```bash
 cardano-cli shelley transaction build-raw \
     --ttl 1000 \
-    --upper-bound 3000\
+    --invalid-hereafter 3000\
     --fee 0 \
     --tx-in (txin of script address)
     --tx-out yourspecifiedtxout \