# Find the Intersection (and) 5-x>7 and 2x+3>=13 and
Simplify the first inequality.
Move all terms not containing to the right side of the inequality.
Subtract from both sides of the inequality.
and
Subtract from .
and
and
Multiply each term in by
Multiply 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
Multiply .
Multiply by .
and
Multiply by .
and
and
Multiply by .
and
and
and
Simplify the second inequality.
Move all terms not containing to the right side of the inequality.
Subtract from both sides of the inequality.
and
Subtract from .
and
and
Divide each term by and simplify.
Divide each term in by .
and
Cancel the common factor of .
Cancel the common factor.
and
Divide by .
and
and
Divide by .
and
and
and
The intersection consists of the elements that are contained in both intervals.
No solution
Find the Intersection (and) 5-x>7 and 2x+3>=13

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