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15 votes
15 votes
What is - 4x +7 > x -13

User JXPheonix
by
2.7k points

2 Answers

11 votes
11 votes

Answer:


x < \bf 4

Explanation:


-4x + 7 > x -13

We have to make
x the subject of the equation:

Subtract
x from both sides:


-4x - x + 7 > -13


-5x + 7 > -13

• Now subtract 7 from both sides:


-5x > -13 - 7


-5x > -20

• Next divide both sides by -5, and remember that dividing an inequality by a negative number reverses the inequality symbol:


x < (-20)/(-5)


x < (20)/(5)


x < \bf 4

User Martin Robins
by
2.9k points
14 votes
14 votes

Answer:


\huge\boxed{\sf x < 4}

Explanation:

Given inequality:

-4x + 7 > x - 13

Subtract x to both sides

-4x - x + 7 > -13

-5x + 7 > -13

Subtract 7 to both sides

-5x > -13 - 7

-5x > -20

Divide -5 to both sides

x < -20/-5

x < 4


\rule[225]{225}{2}

User Artem Abramov
by
2.8k points