# le\(&lt;=\) {#le}

**Parent topic:**[Operators](../../../Programming/Operators/Operators.md)

## Syntax {#syntax}

X&lt;=Y

## Arguments {#arguments}

**X** and **Y** is a scalar/pair/vector/matrix/set. If *X* or *Y* is a pair/vector/matrix, the other is a scalar or a pair/vector/matrix of the same size.

## Details {#details}

If neither *X* nor *Y* is a set, return the element-by-element comparison of *X*&lt;=*Y*.

If *X* and *Y* are sets, check if *X* is a subset of *Y*.

## Examples {#examples}

```
1 2 3 <= 2;
// output: [1,1,0]

1 2 3<=0 2 4;
// output: [0,1,1]

2:3<=1:6;
// output: 0 : 1

m1=1..6$2:3;
m1;
```

|\#0|\#1|\#2|
|---|---|---|
|1|3|5|
|2|4|6|

```
m1 le 4;
```

|\#0|\#1|\#2|
|---|---|---|
|1|1|0|
|1|1|0|

```
m2=6..1$2:3;
m2;
```

|\#0|\#1|\#2|
|---|---|---|
|6|4|2|
|5|3|1|

```
m1<=m2;
```

|\#0|\#1|\#2|
|---|---|---|
|1|1|0|
|1|0|0|

Set operation: If X&lt;=Y then X is a subset of Y

```
x=set(4 6);
y=set(4 6 8);

x<=y;
// output: 1
x<=x;
// output: 1
```

