# How do you write an inequality and solve given "seven tenths of a number plus 14 is less than forty nine"?

##### 1 Answer

May 11, 2017

#### Answer:

#### Explanation:

#"let the number be "x#

#rArr7/10x+14<49larr" is the inequality to be solved"#

#"to eliminate the fraction, multiply ALL terms by 10"#

#cancel(10)xx7/cancel(10) x+(10xx14)<(10xx49)#

#rArr7x+140<490#

#"subtract 140 from both sides"#

#7xcancel(+140)cancel(-140)<490-140#

#rArr7x<350#

#"divide both sides by 7"#

#(cancel(7) x)/cancel(7)<350/7#

#rArrx<50#

#color(blue)"As a check"#

#"Select a value for " x < 50 ," say 40"#

#rArr7/10xx40+14=28+14=42 < 50color(red)" true"#