Algebra Examples

Convert to Interval Notation 7p+5<=-37 and -10p<10
and
Step 1
Simplify the first inequality.
Tap for more steps...
Step 1.1
Move all terms not containing to the right side of the inequality.
Tap for more steps...
Step 1.1.1
Subtract from both sides of the inequality.
and
Step 1.1.2
Subtract from .
and
and
Step 1.2
Divide each term in by and simplify.
Tap for more steps...
Step 1.2.1
Divide each term in by .
and
Step 1.2.2
Simplify the left side.
Tap for more steps...
Step 1.2.2.1
Cancel the common factor of .
Tap for more steps...
Step 1.2.2.1.1
Cancel the common factor.
and
Step 1.2.2.1.2
Divide by .
and
and
and
Step 1.2.3
Simplify the right side.
Tap for more steps...
Step 1.2.3.1
Divide by .
and
and
and
and
Step 2
Divide each term in by and simplify.
Tap for more steps...
Step 2.1
Divide each term in by . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.
and
Step 2.2
Simplify the left side.
Tap for more steps...
Step 2.2.1
Cancel the common factor of .
Tap for more steps...
Step 2.2.1.1
Cancel the common factor.
and
Step 2.2.1.2
Divide by .
and
and
and
Step 2.3
Simplify the right side.
Tap for more steps...
Step 2.3.1
Divide by .
and
and
and
Step 3
The intersection consists of the elements that are contained in both intervals.
No solution