diff --git a/docs/HTTPSRR.md b/docs/HTTPSRR.md
index 300e2e675c..e046e512ea 100644
--- a/docs/HTTPSRR.md
+++ b/docs/HTTPSRR.md
@@ -65,7 +65,7 @@ returned, curl parses it and stores the retrieved information.
 
 If DoH is not used for name resolving in an HTTPS RR enabled build, we must
 provide the ability using the regular resolver backends. We use the c-ares DNS
-library for the HTTPS RR lookup. Version 1.28.0 or higher.
+library for the HTTPS RR lookup. Version 1.28.0 or greater.
 
 ### c-ares
 
diff --git a/docs/INSTALL-CMAKE.md b/docs/INSTALL-CMAKE.md
index 3a5191147d..9498d164f8 100644
--- a/docs/INSTALL-CMAKE.md
+++ b/docs/INSTALL-CMAKE.md
@@ -224,7 +224,7 @@ target_link_libraries(my_target PRIVATE CURL::libcurl)
 - `IMPORT_LIB_SUFFIX`:                      Import library suffix. Default: `_imp` for MSVC-like toolchains, otherwise empty.
 - `LIBCURL_OUTPUT_NAME`:                    Basename of the curl library. Default: `libcurl`
 - `PICKY_COMPILER`:                         Enable picky compiler options. Default: `ON`
-- `SHARE_LIB_OBJECT`:                       Build shared and static libcurl in a single pass (requires CMake 3.12 or higher). Default: `ON` for Windows
+- `SHARE_LIB_OBJECT`:                       Build shared and static libcurl in a single pass (requires CMake 3.12 or greater). Default: `ON` for Windows
 - `STATIC_LIB_SUFFIX`:                      Static library suffix. Default: (empty)
 
 ## Root CA options
diff --git a/docs/INSTALL.md b/docs/INSTALL.md
index 1b6751cf9a..f0f3144081 100644
--- a/docs/INSTALL.md
+++ b/docs/INSTALL.md
@@ -206,8 +206,8 @@ Building for Windows Vista/Server 2008 is required as a minimum.
 
 You can build curl with:
 
-- Microsoft Visual Studio 2010 v10.0 or higher (`_MSC_VER >= 1600`)
-- MinGW-w64 3.0 or higher (`__MINGW64_VERSION_MAJOR >= 3`)
+- Microsoft Visual Studio 2010 v10.0 or greater (`_MSC_VER >= 1600`)
+- MinGW-w64 3.0 or greater (`__MINGW64_VERSION_MAJOR >= 3`)
 
 ## Building Windows DLLs and C runtime (CRT) linkage issues
 
@@ -334,7 +334,7 @@ cmake . \
 
 Notes:
 
-- Requires DJGPP 2.04 or higher.
+- Requires DJGPP 2.04 or greater.
 
 - Compile Watt-32 (and OpenSSL) with the same version of DJGPP. Otherwise
   things go wrong because things like FS-extensions and `errno` values have
diff --git a/docs/RUSTLS.md b/docs/RUSTLS.md
index 3677259e47..49a88d5598 100644
--- a/docs/RUSTLS.md
+++ b/docs/RUSTLS.md
@@ -56,7 +56,7 @@ Once downloaded, build `curl` using `--with-rustls` and the path to the extracte
 Building `rustls-ffi` from source requires both a rust compiler, and the [cargo-c] cargo plugin.
 
 To install a Rust compiler, use [rustup] or your package manager to install
-the **1.73** or higher toolchain.
+the **1.73** or greater toolchain.
 
 To install `cargo-c`, use your [package manager][cargo-c pkg], download
 [a pre-built archive][cargo-c prebuilt], or build it from source with `cargo install cargo-c`.
diff --git a/docs/SSL-PROBLEMS.md b/docs/SSL-PROBLEMS.md
index 66ac2ef962..d2e5ae3f16 100644
--- a/docs/SSL-PROBLEMS.md
+++ b/docs/SSL-PROBLEMS.md
@@ -47,7 +47,7 @@ An additional complication can be that modern SSL libraries sometimes are
 built with support for older SSL and TLS versions disabled.
 
 All versions of SSL and the TLS versions before 1.2 are considered insecure
-and should be avoided. Use TLS 1.2 or higher.
+and should be avoided. Use TLS 1.2 or greater.
 
 ## Ciphers