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Determine which value/s make the following linear equations and inequalities true. Put a check mark (✔️) if the value makes the equation/inequality true. Otherwise, put a cross mark (❌).

pa sagot po need ko napo kasi eh​


Determine Which Values Make The Following Linear Equations And Inequalities True Put A Check Mark If The Value Makes The Equationinequality True Otherwise Put A class=

Sagot :

[tex] \large\sf{» SoluTion}[/tex]

1.

[tex] \sf{x + 2} = 7[/tex]

[tex] \sf(x + 2) + ( - 2) = 7 + ( - 2)[/tex]

[tex] \sf x + 2 - 2 = 7 - 2[/tex]

[tex]\large\green{\boxed{ x = 5}}[/tex]

2.

[tex] \sf4x = - 12[/tex]

[tex] \sf \frac{4x}{4} = - \frac{12}{4} [/tex]

[tex] \sf x = - \frac{2 {}^{2}.3 }{2 {}^{2} } [/tex]

[tex] \large \orange{ \boxed{x = - 3}}[/tex]

3.

[tex] \sf \: 2x - 1 > 7[/tex]

[tex] \sf \: (2x - 1) + 1 > 7 + 1[/tex]

[tex] \sf \: 2x - 1 + 1 > 8[/tex]

[tex] \sf \: 2x > 8[/tex]

[tex] \sf \frac{2x}{2} > \frac{8}{2} [/tex]

[tex] \sf \: x > \frac{2 {}^{2} }{2} [/tex]

[tex] \sf \: x > 2 {}^{3 - 1} [/tex]

[tex] \sf \: x > 2 {}^{2} [/tex]

[tex] \large \red{\boxed { \sf x > 4❌}}[/tex]

4.

[tex] \sf \: - 5x \leqslant 15[/tex]

[tex] \sf \: \frac{5x}{5} \geqslant - \frac{15}{5} [/tex]

[tex] \sf \: x \geqslant - \frac{3 ·5}{5} [/tex]

[tex] \large \blue{ \boxed{ \sf \: x \geqslant - 3}}[/tex]

5.

[tex] \sf \: 8 + 3x < 32[/tex]

[tex] \sf \: 3x + 8 < 32[/tex]

[tex] \sf \: (3x + 8) + ( - 8) < 32 + ( - 8)[/tex]

[tex] \sf \: 3x + 8 - 8 < 32 - 8[/tex]

[tex] \sf \: 3x < 24[/tex]

[tex] \sf \: \frac{3x}{3} < \frac{24}{3} [/tex]

[tex] \sf \: x < \frac{2 {}^{3}·3 }{3} [/tex]

[tex] \sf \: x < 2 {}^{3} [/tex]

[tex] \large \purple{ \boxed{ \sf \: x < 8❌}}[/tex]

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