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Math help? please?

Given: x - 5 > -2.

Choose the solution set.

{x | x R, x > -7}
{x | x R, x > -3}
{x | x R, x > 3}
{x | x R, x > 7}

Given: x - 5 > -10.

Choose the solution set.

{x | x R, x < -15}
{x | x R, x > -5}
{x | x R, x < 5}
{x | x R, x > 15}

Given: 5 > x + 7.

Choose the solution set.

{x | x R, x > -2}
{x | x R, x < -2}
{x | x R, x > 2}
{x | x R, x < 2}

Thank you... I really dont understand this

Respuesta :

aliyapecsoyozdtgy
here you go :) The correct answer for #2 is {x | x R, x > -5} and #3 is {x | x R, x < -2}. #1 in the photo is correct.
Ver imagen aliyapecsoyozdtgy

Answer:

[tex]x-5>-2[/tex];Option third is correct

[tex]x - 5 > -10.[/tex];Option two is correct

[tex]5 > x + 7[/tex];Option two is correct

Explanation:

In case [tex]x-5>-2[/tex] simply the expression we will get

[tex]x>-2+5=x>3[/tex]

Hence, option third that is [tex](x| x R,x>3)[/tex]

In case [tex]x - 5 > -10.[/tex] simplify the expression we will get

[tex]x>-10+5\\x>-5[/tex]

Hence, Option two is correct

[tex](x| x R,x>-5)[/tex]

In case [tex]5 > x + 7[/tex]  simplify the expression we will get

[tex]5>x+7\\5-7>x\\-2>x\\x<-2[/tex]

Hence, Option two is correct


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